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Finding the Third Proportional to 162,871.50 and 234,963

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Solution

The third proportional to 162,871.50 and 234,963 is: 338,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,871.50 : 234,963 = 234,963 : x
  2. Step 2: Convert to fraction form
    162,871.50/234,963 = 234,963/x
  3. Step 3: Cross multiply
    162,871.50x = 234,963 × 234,963
  4. Step 4: Simplify right side
    162,871.50x = 55,207,611,369
  5. Step 5: Solve for x
    x = 55,207,611,369/162,871.50
  6. Step 6: Final answer
    x = 338,964.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.