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Finding the Third Proportional to 137,653.13 and 200,487.75

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Solution

The third proportional to 137,653.13 and 200,487.75 is: 292,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.13 : 200,487.75 = 200,487.75 : x
  2. Step 2: Convert to fraction form
    137,653.13/200,487.75 = 200,487.75/x
  3. Step 3: Cross multiply
    137,653.13x = 200,487.75 × 200,487.75
  4. Step 4: Simplify right side
    137,653.13x = 40,195,337,900.06
  5. Step 5: Solve for x
    x = 40,195,337,900.06/137,653.13
  6. Step 6: Final answer
    x = 292,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.