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Finding the Third Proportional to 225,452 and 348,101

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Solution

The third proportional to 225,452 and 348,101 is: 537,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,452 : 348,101 = 348,101 : x
  2. Step 2: Convert to fraction form
    225,452/348,101 = 348,101/x
  3. Step 3: Cross multiply
    225,452x = 348,101 × 348,101
  4. Step 4: Simplify right side
    225,452x = 121,174,306,201
  5. Step 5: Solve for x
    x = 121,174,306,201/225,452
  6. Step 6: Final answer
    x = 537,472.75

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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.