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Finding the Third Proportional to 176,553 and 226,687.50

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Solution

The third proportional to 176,553 and 226,687.50 is: 291,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553 : 226,687.50 = 226,687.50 : x
  2. Step 2: Convert to fraction form
    176,553/226,687.50 = 226,687.50/x
  3. Step 3: Cross multiply
    176,553x = 226,687.50 × 226,687.50
  4. Step 4: Simplify right side
    176,553x = 51,387,222,656.25
  5. Step 5: Solve for x
    x = 51,387,222,656.25/176,553
  6. Step 6: Final answer
    x = 291,058.34

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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.