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Finding the Third Proportional to 133,439 and 293,122

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Solution

The third proportional to 133,439 and 293,122 is: 643,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,439 : 293,122 = 293,122 : x
  2. Step 2: Convert to fraction form
    133,439/293,122 = 293,122/x
  3. Step 3: Cross multiply
    133,439x = 293,122 × 293,122
  4. Step 4: Simplify right side
    133,439x = 85,920,506,884
  5. Step 5: Solve for x
    x = 85,920,506,884/133,439
  6. Step 6: Final answer
    x = 643,893.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.