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Finding the Third Proportional to 176,592 and 226,740

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Solution

The third proportional to 176,592 and 226,740 is: 291,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,592 : 226,740 = 226,740 : x
  2. Step 2: Convert to fraction form
    176,592/226,740 = 226,740/x
  3. Step 3: Cross multiply
    176,592x = 226,740 × 226,740
  4. Step 4: Simplify right side
    176,592x = 51,411,027,600
  5. Step 5: Solve for x
    x = 51,411,027,600/176,592
  6. Step 6: Final answer
    x = 291,128.86

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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.