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Finding the Third Proportional to 224,515.13 and 266,032.69

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Solution

The third proportional to 224,515.13 and 266,032.69 is: 315,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.13 : 266,032.69 = 266,032.69 : x
  2. Step 2: Convert to fraction form
    224,515.13/266,032.69 = 266,032.69/x
  3. Step 3: Cross multiply
    224,515.13x = 266,032.69 × 266,032.69
  4. Step 4: Simplify right side
    224,515.13x = 70,773,390,818.47
  5. Step 5: Solve for x
    x = 70,773,390,818.47/224,515.13
  6. Step 6: Final answer
    x = 315,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.