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Finding the Third Proportional to 160,767 and 353,061

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Solution

The third proportional to 160,767 and 353,061 is: 775,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,767 : 353,061 = 353,061 : x
  2. Step 2: Convert to fraction form
    160,767/353,061 = 353,061/x
  3. Step 3: Cross multiply
    160,767x = 353,061 × 353,061
  4. Step 4: Simplify right side
    160,767x = 124,652,069,721
  5. Step 5: Solve for x
    x = 124,652,069,721/160,767
  6. Step 6: Final answer
    x = 775,358.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.