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Finding the Third Proportional to 133,160 and 292,184

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Solution

The third proportional to 133,160 and 292,184 is: 641,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,160 : 292,184 = 292,184 : x
  2. Step 2: Convert to fraction form
    133,160/292,184 = 292,184/x
  3. Step 3: Cross multiply
    133,160x = 292,184 × 292,184
  4. Step 4: Simplify right side
    133,160x = 85,371,489,856
  5. Step 5: Solve for x
    x = 85,371,489,856/133,160
  6. Step 6: Final answer
    x = 641,119.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.