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Finding the Third Proportional to 136,755 and 295,381

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Solution

The third proportional to 136,755 and 295,381 is: 638,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,755 : 295,381 = 295,381 : x
  2. Step 2: Convert to fraction form
    136,755/295,381 = 295,381/x
  3. Step 3: Cross multiply
    136,755x = 295,381 × 295,381
  4. Step 4: Simplify right side
    136,755x = 87,249,935,161
  5. Step 5: Solve for x
    x = 87,249,935,161/136,755
  6. Step 6: Final answer
    x = 638,001.79

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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.