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Finding the Third Proportional to 158,464 and 345,360

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Solution

The third proportional to 158,464 and 345,360 is: 752,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,464 : 345,360 = 345,360 : x
  2. Step 2: Convert to fraction form
    158,464/345,360 = 345,360/x
  3. Step 3: Cross multiply
    158,464x = 345,360 × 345,360
  4. Step 4: Simplify right side
    158,464x = 119,273,529,600
  5. Step 5: Solve for x
    x = 119,273,529,600/158,464
  6. Step 6: Final answer
    x = 752,685.34

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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.