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Finding the Third Proportional to 136,172 and 316,433

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Solution

The third proportional to 136,172 and 316,433 is: 735,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,172 : 316,433 = 316,433 : x
  2. Step 2: Convert to fraction form
    136,172/316,433 = 316,433/x
  3. Step 3: Cross multiply
    136,172x = 316,433 × 316,433
  4. Step 4: Simplify right side
    136,172x = 100,129,843,489
  5. Step 5: Solve for x
    x = 100,129,843,489/136,172
  6. Step 6: Final answer
    x = 735,318.89

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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.