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Finding the Third Proportional to 108,469.50 and 253,413.75

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Solution

The third proportional to 108,469.50 and 253,413.75 is: 592,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469.50 : 253,413.75 = 253,413.75 : x
  2. Step 2: Convert to fraction form
    108,469.50/253,413.75 = 253,413.75/x
  3. Step 3: Cross multiply
    108,469.50x = 253,413.75 × 253,413.75
  4. Step 4: Simplify right side
    108,469.50x = 64,218,528,689.06
  5. Step 5: Solve for x
    x = 64,218,528,689.06/108,469.50
  6. Step 6: Final answer
    x = 592,042.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.