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Finding the Third Proportional to 136,272 and 293,262

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Solution

The third proportional to 136,272 and 293,262 is: 631,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,272 : 293,262 = 293,262 : x
  2. Step 2: Convert to fraction form
    136,272/293,262 = 293,262/x
  3. Step 3: Cross multiply
    136,272x = 293,262 × 293,262
  4. Step 4: Simplify right side
    136,272x = 86,002,600,644
  5. Step 5: Solve for x
    x = 86,002,600,644/136,272
  6. Step 6: Final answer
    x = 631,109.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.