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Finding the Third Proportional to 242,552.25 and 510,239.25

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Solution

The third proportional to 242,552.25 and 510,239.25 is: 1,073,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,552.25 : 510,239.25 = 510,239.25 : x
  2. Step 2: Convert to fraction form
    242,552.25/510,239.25 = 510,239.25/x
  3. Step 3: Cross multiply
    242,552.25x = 510,239.25 × 510,239.25
  4. Step 4: Simplify right side
    242,552.25x = 260,344,092,240.56
  5. Step 5: Solve for x
    x = 260,344,092,240.56/242,552.25
  6. Step 6: Final answer
    x = 1,073,352.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.