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Finding the Third Proportional to 118,402 and 247,748

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Solution

The third proportional to 118,402 and 247,748 is: 518,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,402 : 247,748 = 247,748 : x
  2. Step 2: Convert to fraction form
    118,402/247,748 = 247,748/x
  3. Step 3: Cross multiply
    118,402x = 247,748 × 247,748
  4. Step 4: Simplify right side
    118,402x = 61,379,071,504
  5. Step 5: Solve for x
    x = 61,379,071,504/118,402
  6. Step 6: Final answer
    x = 518,395.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.