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Finding the Third Proportional to 151,569 and 226,417

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Solution

The third proportional to 151,569 and 226,417 is: 338,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,569 : 226,417 = 226,417 : x
  2. Step 2: Convert to fraction form
    151,569/226,417 = 226,417/x
  3. Step 3: Cross multiply
    151,569x = 226,417 × 226,417
  4. Step 4: Simplify right side
    151,569x = 51,264,657,889
  5. Step 5: Solve for x
    x = 51,264,657,889/151,569
  6. Step 6: Final answer
    x = 338,226.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.