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Finding the Third Proportional to 137,662.13 and 255,298.13

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Solution

The third proportional to 137,662.13 and 255,298.13 is: 473,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,662.13 : 255,298.13 = 255,298.13 : x
  2. Step 2: Convert to fraction form
    137,662.13/255,298.13 = 255,298.13/x
  3. Step 3: Cross multiply
    137,662.13x = 255,298.13 × 255,298.13
  4. Step 4: Simplify right side
    137,662.13x = 65,177,132,628.52
  5. Step 5: Solve for x
    x = 65,177,132,628.52/137,662.13
  6. Step 6: Final answer
    x = 473,457.26

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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.