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Finding the Third Proportional to 153,747 and 334,422

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Solution

The third proportional to 153,747 and 334,422 is: 727,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,747 : 334,422 = 334,422 : x
  2. Step 2: Convert to fraction form
    153,747/334,422 = 334,422/x
  3. Step 3: Cross multiply
    153,747x = 334,422 × 334,422
  4. Step 4: Simplify right side
    153,747x = 111,838,074,084
  5. Step 5: Solve for x
    x = 111,838,074,084/153,747
  6. Step 6: Final answer
    x = 727,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.