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Finding the Third Proportional to 242,362.50 and 517,713

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Solution

The third proportional to 242,362.50 and 517,713 is: 1,105,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,362.50 : 517,713 = 517,713 : x
  2. Step 2: Convert to fraction form
    242,362.50/517,713 = 517,713/x
  3. Step 3: Cross multiply
    242,362.50x = 517,713 × 517,713
  4. Step 4: Simplify right side
    242,362.50x = 268,026,750,369
  5. Step 5: Solve for x
    x = 268,026,750,369/242,362.50
  6. Step 6: Final answer
    x = 1,105,892.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.