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Finding the Third Proportional to 147,354 and 225,260

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Solution

The third proportional to 147,354 and 225,260 is: 344,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,354 : 225,260 = 225,260 : x
  2. Step 2: Convert to fraction form
    147,354/225,260 = 225,260/x
  3. Step 3: Cross multiply
    147,354x = 225,260 × 225,260
  4. Step 4: Simplify right side
    147,354x = 50,742,067,600
  5. Step 5: Solve for x
    x = 50,742,067,600/147,354
  6. Step 6: Final answer
    x = 344,354.87

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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.