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Finding the Third Proportional to 152,668.13 and 224,560.69

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Solution

The third proportional to 152,668.13 and 224,560.69 is: 330,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,668.13 : 224,560.69 = 224,560.69 : x
  2. Step 2: Convert to fraction form
    152,668.13/224,560.69 = 224,560.69/x
  3. Step 3: Cross multiply
    152,668.13x = 224,560.69 × 224,560.69
  4. Step 4: Simplify right side
    152,668.13x = 50,427,502,370.47
  5. Step 5: Solve for x
    x = 50,427,502,370.47/152,668.13
  6. Step 6: Final answer
    x = 330,308.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.