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Finding the Third Proportional to 160,926.75 and 347,140.69

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Solution

The third proportional to 160,926.75 and 347,140.69 is: 748,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,926.75 : 347,140.69 = 347,140.69 : x
  2. Step 2: Convert to fraction form
    160,926.75/347,140.69 = 347,140.69/x
  3. Step 3: Cross multiply
    160,926.75x = 347,140.69 × 347,140.69
  4. Step 4: Simplify right side
    160,926.75x = 120,506,656,917.97
  5. Step 5: Solve for x
    x = 120,506,656,917.97/160,926.75
  6. Step 6: Final answer
    x = 748,829.25

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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.