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Finding the Third Proportional to 77,280 and 162,862

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Solution

The third proportional to 77,280 and 162,862 is: 343,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 162,862 = 162,862 : x
  2. Step 2: Convert to fraction form
    77,280/162,862 = 162,862/x
  3. Step 3: Cross multiply
    77,280x = 162,862 × 162,862
  4. Step 4: Simplify right side
    77,280x = 26,524,031,044
  5. Step 5: Solve for x
    x = 26,524,031,044/77,280
  6. Step 6: Final answer
    x = 343,219.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.