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Finding the Third Proportional to 161,001 and 317,941.88

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Solution

The third proportional to 161,001 and 317,941.88 is: 627,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,001 : 317,941.88 = 317,941.88 : x
  2. Step 2: Convert to fraction form
    161,001/317,941.88 = 317,941.88/x
  3. Step 3: Cross multiply
    161,001x = 317,941.88 × 317,941.88
  4. Step 4: Simplify right side
    161,001x = 101,087,035,878.52
  5. Step 5: Solve for x
    x = 101,087,035,878.52/161,001
  6. Step 6: Final answer
    x = 627,865.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.