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Finding the Third Proportional to 158,611.50 and 343,359

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Solution

The third proportional to 158,611.50 and 343,359 is: 743,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,611.50 : 343,359 = 343,359 : x
  2. Step 2: Convert to fraction form
    158,611.50/343,359 = 343,359/x
  3. Step 3: Cross multiply
    158,611.50x = 343,359 × 343,359
  4. Step 4: Simplify right side
    158,611.50x = 117,895,402,881
  5. Step 5: Solve for x
    x = 117,895,402,881/158,611.50
  6. Step 6: Final answer
    x = 743,296.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.