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Finding the Third Proportional to 170,348 and 375,256

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Solution

The third proportional to 170,348 and 375,256 is: 826,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,348 : 375,256 = 375,256 : x
  2. Step 2: Convert to fraction form
    170,348/375,256 = 375,256/x
  3. Step 3: Cross multiply
    170,348x = 375,256 × 375,256
  4. Step 4: Simplify right side
    170,348x = 140,817,065,536
  5. Step 5: Solve for x
    x = 140,817,065,536/170,348
  6. Step 6: Final answer
    x = 826,643.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.