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Finding the Third Proportional to 162,211.50 and 216,981

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Solution

The third proportional to 162,211.50 and 216,981 is: 290,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,211.50 : 216,981 = 216,981 : x
  2. Step 2: Convert to fraction form
    162,211.50/216,981 = 216,981/x
  3. Step 3: Cross multiply
    162,211.50x = 216,981 × 216,981
  4. Step 4: Simplify right side
    162,211.50x = 47,080,754,361
  5. Step 5: Solve for x
    x = 47,080,754,361/162,211.50
  6. Step 6: Final answer
    x = 290,243.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.