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Finding the Third Proportional to 133,035 and 287,169

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Solution

The third proportional to 133,035 and 287,169 is: 619,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035 : 287,169 = 287,169 : x
  2. Step 2: Convert to fraction form
    133,035/287,169 = 287,169/x
  3. Step 3: Cross multiply
    133,035x = 287,169 × 287,169
  4. Step 4: Simplify right side
    133,035x = 82,466,034,561
  5. Step 5: Solve for x
    x = 82,466,034,561/133,035
  6. Step 6: Final answer
    x = 619,882.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.