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Finding the Third Proportional to 135,116 and 292,588

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Solution

The third proportional to 135,116 and 292,588 is: 633,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,116 : 292,588 = 292,588 : x
  2. Step 2: Convert to fraction form
    135,116/292,588 = 292,588/x
  3. Step 3: Cross multiply
    135,116x = 292,588 × 292,588
  4. Step 4: Simplify right side
    135,116x = 85,607,737,744
  5. Step 5: Solve for x
    x = 85,607,737,744/135,116
  6. Step 6: Final answer
    x = 633,586.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.