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Finding the Third Proportional to 136,032 and 316,230

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Solution

The third proportional to 136,032 and 316,230 is: 735,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,032 : 316,230 = 316,230 : x
  2. Step 2: Convert to fraction form
    136,032/316,230 = 316,230/x
  3. Step 3: Cross multiply
    136,032x = 316,230 × 316,230
  4. Step 4: Simplify right side
    136,032x = 100,001,412,900
  5. Step 5: Solve for x
    x = 100,001,412,900/136,032
  6. Step 6: Final answer
    x = 735,131.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.