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Finding the Third Proportional to 137,659.13 and 255,292.13

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Solution

The third proportional to 137,659.13 and 255,292.13 is: 473,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,659.13 : 255,292.13 = 255,292.13 : x
  2. Step 2: Convert to fraction form
    137,659.13/255,292.13 = 255,292.13/x
  3. Step 3: Cross multiply
    137,659.13x = 255,292.13 × 255,292.13
  4. Step 4: Simplify right side
    137,659.13x = 65,174,069,087.02
  5. Step 5: Solve for x
    x = 65,174,069,087.02/137,659.13
  6. Step 6: Final answer
    x = 473,445.32

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.