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Finding the Third Proportional to 160,251.75 and 346,200.75

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Solution

The third proportional to 160,251.75 and 346,200.75 is: 747,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,251.75 : 346,200.75 = 346,200.75 : x
  2. Step 2: Convert to fraction form
    160,251.75/346,200.75 = 346,200.75/x
  3. Step 3: Cross multiply
    160,251.75x = 346,200.75 × 346,200.75
  4. Step 4: Simplify right side
    160,251.75x = 119,854,959,300.56
  5. Step 5: Solve for x
    x = 119,854,959,300.56/160,251.75
  6. Step 6: Final answer
    x = 747,916.70

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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.