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Finding the Third Proportional to 238,370 and 353,432

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Solution

The third proportional to 238,370 and 353,432 is: 524,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,370 : 353,432 = 353,432 : x
  2. Step 2: Convert to fraction form
    238,370/353,432 = 353,432/x
  3. Step 3: Cross multiply
    238,370x = 353,432 × 353,432
  4. Step 4: Simplify right side
    238,370x = 124,914,178,624
  5. Step 5: Solve for x
    x = 124,914,178,624/238,370
  6. Step 6: Final answer
    x = 524,034.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.