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Finding the Third Proportional to 153,917.63 and 230,257.13

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Solution

The third proportional to 153,917.63 and 230,257.13 is: 344,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,917.63 : 230,257.13 = 230,257.13 : x
  2. Step 2: Convert to fraction form
    153,917.63/230,257.13 = 230,257.13/x
  3. Step 3: Cross multiply
    153,917.63x = 230,257.13 × 230,257.13
  4. Step 4: Simplify right side
    153,917.63x = 53,018,343,613.27
  5. Step 5: Solve for x
    x = 53,018,343,613.27/153,917.63
  6. Step 6: Final answer
    x = 344,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.