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Finding the Third Proportional to 158,658 and 345,720

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Solution

The third proportional to 158,658 and 345,720 is: 753,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,658 : 345,720 = 345,720 : x
  2. Step 2: Convert to fraction form
    158,658/345,720 = 345,720/x
  3. Step 3: Cross multiply
    158,658x = 345,720 × 345,720
  4. Step 4: Simplify right side
    158,658x = 119,522,318,400
  5. Step 5: Solve for x
    x = 119,522,318,400/158,658
  6. Step 6: Final answer
    x = 753,333.07

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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.