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Finding the Third Proportional to 141,554 and 306,724

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Solution

The third proportional to 141,554 and 306,724 is: 664,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,554 : 306,724 = 306,724 : x
  2. Step 2: Convert to fraction form
    141,554/306,724 = 306,724/x
  3. Step 3: Cross multiply
    141,554x = 306,724 × 306,724
  4. Step 4: Simplify right side
    141,554x = 94,079,612,176
  5. Step 5: Solve for x
    x = 94,079,612,176/141,554
  6. Step 6: Final answer
    x = 664,619.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.