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Finding the Third Proportional to 165,435.38 and 247,492.13

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Solution

The third proportional to 165,435.38 and 247,492.13 is: 370,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,435.38 : 247,492.13 = 247,492.13 : x
  2. Step 2: Convert to fraction form
    165,435.38/247,492.13 = 247,492.13/x
  3. Step 3: Cross multiply
    165,435.38x = 247,492.13 × 247,492.13
  4. Step 4: Simplify right side
    165,435.38x = 61,252,351,937.02
  5. Step 5: Solve for x
    x = 61,252,351,937.02/165,435.38
  6. Step 6: Final answer
    x = 370,249.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.