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Finding the Third Proportional to 153,554 and 332,259

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Solution

The third proportional to 153,554 and 332,259 is: 718,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,554 : 332,259 = 332,259 : x
  2. Step 2: Convert to fraction form
    153,554/332,259 = 332,259/x
  3. Step 3: Cross multiply
    153,554x = 332,259 × 332,259
  4. Step 4: Simplify right side
    153,554x = 110,396,043,081
  5. Step 5: Solve for x
    x = 110,396,043,081/153,554
  6. Step 6: Final answer
    x = 718,939.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.