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Finding the Third Proportional to 141,650 and 306,532

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Solution

The third proportional to 141,650 and 306,532 is: 663,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,650 : 306,532 = 306,532 : x
  2. Step 2: Convert to fraction form
    141,650/306,532 = 306,532/x
  3. Step 3: Cross multiply
    141,650x = 306,532 × 306,532
  4. Step 4: Simplify right side
    141,650x = 93,961,867,024
  5. Step 5: Solve for x
    x = 93,961,867,024/141,650
  6. Step 6: Final answer
    x = 663,338.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.