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Finding the Third Proportional to 160,898 and 353,452

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Solution

The third proportional to 160,898 and 353,452 is: 776,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,898 : 353,452 = 353,452 : x
  2. Step 2: Convert to fraction form
    160,898/353,452 = 353,452/x
  3. Step 3: Cross multiply
    160,898x = 353,452 × 353,452
  4. Step 4: Simplify right side
    160,898x = 124,928,316,304
  5. Step 5: Solve for x
    x = 124,928,316,304/160,898
  6. Step 6: Final answer
    x = 776,444.18

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Why These Related Problems?

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