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Finding the Third Proportional to 162,458 and 237,350

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Solution

The third proportional to 162,458 and 237,350 is: 346,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,458 : 237,350 = 237,350 : x
  2. Step 2: Convert to fraction form
    162,458/237,350 = 237,350/x
  3. Step 3: Cross multiply
    162,458x = 237,350 × 237,350
  4. Step 4: Simplify right side
    162,458x = 56,335,022,500
  5. Step 5: Solve for x
    x = 56,335,022,500/162,458
  6. Step 6: Final answer
    x = 346,766.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.