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Finding the Third Proportional to 225,352 and 346,414

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Solution

The third proportional to 225,352 and 346,414 is: 532,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,352 : 346,414 = 346,414 : x
  2. Step 2: Convert to fraction form
    225,352/346,414 = 346,414/x
  3. Step 3: Cross multiply
    225,352x = 346,414 × 346,414
  4. Step 4: Simplify right side
    225,352x = 120,002,659,396
  5. Step 5: Solve for x
    x = 120,002,659,396/225,352
  6. Step 6: Final answer
    x = 532,512.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.