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Finding the Third Proportional to 163,962 and 232,443

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Solution

The third proportional to 163,962 and 232,443 is: 329,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,962 : 232,443 = 232,443 : x
  2. Step 2: Convert to fraction form
    163,962/232,443 = 232,443/x
  3. Step 3: Cross multiply
    163,962x = 232,443 × 232,443
  4. Step 4: Simplify right side
    163,962x = 54,029,748,249
  5. Step 5: Solve for x
    x = 54,029,748,249/163,962
  6. Step 6: Final answer
    x = 329,526.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.