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Finding the Third Proportional to 162,096 and 260,442

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Solution

The third proportional to 162,096 and 260,442 is: 418,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,096 : 260,442 = 260,442 : x
  2. Step 2: Convert to fraction form
    162,096/260,442 = 260,442/x
  3. Step 3: Cross multiply
    162,096x = 260,442 × 260,442
  4. Step 4: Simplify right side
    162,096x = 67,830,035,364
  5. Step 5: Solve for x
    x = 67,830,035,364/162,096
  6. Step 6: Final answer
    x = 418,455.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.