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Finding the Third Proportional to 146,033 and 225,498

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Solution

The third proportional to 146,033 and 225,498 is: 348,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,033 : 225,498 = 225,498 : x
  2. Step 2: Convert to fraction form
    146,033/225,498 = 225,498/x
  3. Step 3: Cross multiply
    146,033x = 225,498 × 225,498
  4. Step 4: Simplify right side
    146,033x = 50,849,348,004
  5. Step 5: Solve for x
    x = 50,849,348,004/146,033
  6. Step 6: Final answer
    x = 348,204.50

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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.