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Finding the Third Proportional to 242,017.88 and 384,382.13

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Solution

The third proportional to 242,017.88 and 384,382.13 is: 610,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,017.88 : 384,382.13 = 384,382.13 : x
  2. Step 2: Convert to fraction form
    242,017.88/384,382.13 = 384,382.13/x
  3. Step 3: Cross multiply
    242,017.88x = 384,382.13 × 384,382.13
  4. Step 4: Simplify right side
    242,017.88x = 147,749,618,019.52
  5. Step 5: Solve for x
    x = 147,749,618,019.52/242,017.88
  6. Step 6: Final answer
    x = 610,490.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.