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Finding the Third Proportional to 238,032 and 382,716

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Solution

The third proportional to 238,032 and 382,716 is: 615,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,032 : 382,716 = 382,716 : x
  2. Step 2: Convert to fraction form
    238,032/382,716 = 382,716/x
  3. Step 3: Cross multiply
    238,032x = 382,716 × 382,716
  4. Step 4: Simplify right side
    238,032x = 146,471,536,656
  5. Step 5: Solve for x
    x = 146,471,536,656/238,032
  6. Step 6: Final answer
    x = 615,343.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.