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Finding the Third Proportional to 125,689.50 and 264,305.25

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Solution

The third proportional to 125,689.50 and 264,305.25 is: 555,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,689.50 : 264,305.25 = 264,305.25 : x
  2. Step 2: Convert to fraction form
    125,689.50/264,305.25 = 264,305.25/x
  3. Step 3: Cross multiply
    125,689.50x = 264,305.25 × 264,305.25
  4. Step 4: Simplify right side
    125,689.50x = 69,857,265,177.56
  5. Step 5: Solve for x
    x = 69,857,265,177.56/125,689.50
  6. Step 6: Final answer
    x = 555,792.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.