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Finding the Third Proportional to 145,302 and 218,098

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Solution

The third proportional to 145,302 and 218,098 is: 327,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,302 : 218,098 = 218,098 : x
  2. Step 2: Convert to fraction form
    145,302/218,098 = 218,098/x
  3. Step 3: Cross multiply
    145,302x = 218,098 × 218,098
  4. Step 4: Simplify right side
    145,302x = 47,566,737,604
  5. Step 5: Solve for x
    x = 47,566,737,604/145,302
  6. Step 6: Final answer
    x = 327,364.64

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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.