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Finding the Third Proportional to 162,097.88 and 260,447.63

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Solution

The third proportional to 162,097.88 and 260,447.63 is: 418,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,097.88 : 260,447.63 = 260,447.63 : x
  2. Step 2: Convert to fraction form
    162,097.88/260,447.63 = 260,447.63/x
  3. Step 3: Cross multiply
    162,097.88x = 260,447.63 × 260,447.63
  4. Step 4: Simplify right side
    162,097.88x = 67,832,965,368.14
  5. Step 5: Solve for x
    x = 67,832,965,368.14/162,097.88
  6. Step 6: Final answer
    x = 418,469.18

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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.