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Finding the Third Proportional to 158,643 and 343,422

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Solution

The third proportional to 158,643 and 343,422 is: 743,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,643 : 343,422 = 343,422 : x
  2. Step 2: Convert to fraction form
    158,643/343,422 = 343,422/x
  3. Step 3: Cross multiply
    158,643x = 343,422 × 343,422
  4. Step 4: Simplify right side
    158,643x = 117,938,670,084
  5. Step 5: Solve for x
    x = 117,938,670,084/158,643
  6. Step 6: Final answer
    x = 743,421.83

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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.