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Finding the Third Proportional to 158,643 and 345,690

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Solution

The third proportional to 158,643 and 345,690 is: 753,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,643 : 345,690 = 345,690 : x
  2. Step 2: Convert to fraction form
    158,643/345,690 = 345,690/x
  3. Step 3: Cross multiply
    158,643x = 345,690 × 345,690
  4. Step 4: Simplify right side
    158,643x = 119,501,576,100
  5. Step 5: Solve for x
    x = 119,501,576,100/158,643
  6. Step 6: Final answer
    x = 753,273.55

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