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Finding the Third Proportional to 242,937 and 381,061.13

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Solution

The third proportional to 242,937 and 381,061.13 is: 597,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,937 : 381,061.13 = 381,061.13 : x
  2. Step 2: Convert to fraction form
    242,937/381,061.13 = 381,061.13/x
  3. Step 3: Cross multiply
    242,937x = 381,061.13 × 381,061.13
  4. Step 4: Simplify right side
    242,937x = 145,207,580,986.27
  5. Step 5: Solve for x
    x = 145,207,580,986.27/242,937
  6. Step 6: Final answer
    x = 597,717.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.