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Finding the Third Proportional to 133,190 and 292,627

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Solution

The third proportional to 133,190 and 292,627 is: 642,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,190 : 292,627 = 292,627 : x
  2. Step 2: Convert to fraction form
    133,190/292,627 = 292,627/x
  3. Step 3: Cross multiply
    133,190x = 292,627 × 292,627
  4. Step 4: Simplify right side
    133,190x = 85,630,561,129
  5. Step 5: Solve for x
    x = 85,630,561,129/133,190
  6. Step 6: Final answer
    x = 642,920.35

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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.