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Finding the Third Proportional to 176,576.63 and 226,729.13

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Solution

The third proportional to 176,576.63 and 226,729.13 is: 291,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,576.63 : 226,729.13 = 226,729.13 : x
  2. Step 2: Convert to fraction form
    176,576.63/226,729.13 = 226,729.13/x
  3. Step 3: Cross multiply
    176,576.63x = 226,729.13 × 226,729.13
  4. Step 4: Simplify right side
    176,576.63x = 51,406,096,123.27
  5. Step 5: Solve for x
    x = 51,406,096,123.27/176,576.63
  6. Step 6: Final answer
    x = 291,126.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.