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Finding the Third Proportional to 162,102 and 260,454

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Solution

The third proportional to 162,102 and 260,454 is: 418,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,102 : 260,454 = 260,454 : x
  2. Step 2: Convert to fraction form
    162,102/260,454 = 260,454/x
  3. Step 3: Cross multiply
    162,102x = 260,454 × 260,454
  4. Step 4: Simplify right side
    162,102x = 67,836,286,116
  5. Step 5: Solve for x
    x = 67,836,286,116/162,102
  6. Step 6: Final answer
    x = 418,479.02

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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.