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Finding the Third Proportional to 160,363 and 346,150

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Solution

The third proportional to 160,363 and 346,150 is: 747,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,363 : 346,150 = 346,150 : x
  2. Step 2: Convert to fraction form
    160,363/346,150 = 346,150/x
  3. Step 3: Cross multiply
    160,363x = 346,150 × 346,150
  4. Step 4: Simplify right side
    160,363x = 119,819,822,500
  5. Step 5: Solve for x
    x = 119,819,822,500/160,363
  6. Step 6: Final answer
    x = 747,178.73

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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.