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Finding the Third Proportional to 238,413.38 and 357,625.13

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Solution

The third proportional to 238,413.38 and 357,625.13 is: 536,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,413.38 : 357,625.13 = 357,625.13 : x
  2. Step 2: Convert to fraction form
    238,413.38/357,625.13 = 357,625.13/x
  3. Step 3: Cross multiply
    238,413.38x = 357,625.13 × 357,625.13
  4. Step 4: Simplify right side
    238,413.38x = 127,895,730,031.27
  5. Step 5: Solve for x
    x = 127,895,730,031.27/238,413.38
  6. Step 6: Final answer
    x = 536,445.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.