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Finding the Third Proportional to 141,648 and 309,432

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Solution

The third proportional to 141,648 and 309,432 is: 675,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,648 : 309,432 = 309,432 : x
  2. Step 2: Convert to fraction form
    141,648/309,432 = 309,432/x
  3. Step 3: Cross multiply
    141,648x = 309,432 × 309,432
  4. Step 4: Simplify right side
    141,648x = 95,748,162,624
  5. Step 5: Solve for x
    x = 95,748,162,624/141,648
  6. Step 6: Final answer
    x = 675,958.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.