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Finding the Third Proportional to 151,531 and 227,297

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Solution

The third proportional to 151,531 and 227,297 is: 340,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,531 : 227,297 = 227,297 : x
  2. Step 2: Convert to fraction form
    151,531/227,297 = 227,297/x
  3. Step 3: Cross multiply
    151,531x = 227,297 × 227,297
  4. Step 4: Simplify right side
    151,531x = 51,663,926,209
  5. Step 5: Solve for x
    x = 51,663,926,209/151,531
  6. Step 6: Final answer
    x = 340,946.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.