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Finding the Third Proportional to 147,282 and 225,205.50

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Solution

The third proportional to 147,282 and 225,205.50 is: 344,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,282 : 225,205.50 = 225,205.50 : x
  2. Step 2: Convert to fraction form
    147,282/225,205.50 = 225,205.50/x
  3. Step 3: Cross multiply
    147,282x = 225,205.50 × 225,205.50
  4. Step 4: Simplify right side
    147,282x = 50,717,517,230.25
  5. Step 5: Solve for x
    x = 50,717,517,230.25/147,282
  6. Step 6: Final answer
    x = 344,356.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.