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Finding the Third Proportional to 133,033 and 272,281

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Solution

The third proportional to 133,033 and 272,281 is: 557,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033 : 272,281 = 272,281 : x
  2. Step 2: Convert to fraction form
    133,033/272,281 = 272,281/x
  3. Step 3: Cross multiply
    133,033x = 272,281 × 272,281
  4. Step 4: Simplify right side
    133,033x = 74,136,942,961
  5. Step 5: Solve for x
    x = 74,136,942,961/133,033
  6. Step 6: Final answer
    x = 557,282.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.