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Finding the Third Proportional to 162,579 and 217,461

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Solution

The third proportional to 162,579 and 217,461 is: 290,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,579 : 217,461 = 217,461 : x
  2. Step 2: Convert to fraction form
    162,579/217,461 = 217,461/x
  3. Step 3: Cross multiply
    162,579x = 217,461 × 217,461
  4. Step 4: Simplify right side
    162,579x = 47,289,286,521
  5. Step 5: Solve for x
    x = 47,289,286,521/162,579
  6. Step 6: Final answer
    x = 290,869.59

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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.