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Finding the Third Proportional to 165,402 and 247,451.63

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Solution

The third proportional to 165,402 and 247,451.63 is: 370,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,402 : 247,451.63 = 247,451.63 : x
  2. Step 2: Convert to fraction form
    165,402/247,451.63 = 247,451.63/x
  3. Step 3: Cross multiply
    165,402x = 247,451.63 × 247,451.63
  4. Step 4: Simplify right side
    165,402x = 61,232,306,715.14
  5. Step 5: Solve for x
    x = 61,232,306,715.14/165,402
  6. Step 6: Final answer
    x = 370,202.94

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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.