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Finding the Third Proportional to 145,901 and 218,850.50

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Solution

The third proportional to 145,901 and 218,850.50 is: 328,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,901 : 218,850.50 = 218,850.50 : x
  2. Step 2: Convert to fraction form
    145,901/218,850.50 = 218,850.50/x
  3. Step 3: Cross multiply
    145,901x = 218,850.50 × 218,850.50
  4. Step 4: Simplify right side
    145,901x = 47,895,541,350.25
  5. Step 5: Solve for x
    x = 47,895,541,350.25/145,901
  6. Step 6: Final answer
    x = 328,274.25

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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.