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Finding the Third Proportional to 162,862 and 232,460

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Solution

The third proportional to 162,862 and 232,460 is: 331,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,862 : 232,460 = 232,460 : x
  2. Step 2: Convert to fraction form
    162,862/232,460 = 232,460/x
  3. Step 3: Cross multiply
    162,862x = 232,460 × 232,460
  4. Step 4: Simplify right side
    162,862x = 54,037,651,600
  5. Step 5: Solve for x
    x = 54,037,651,600/162,862
  6. Step 6: Final answer
    x = 331,800.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.