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Finding the Third Proportional to 151,378.50 and 356,841.75

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Solution

The third proportional to 151,378.50 and 356,841.75 is: 841,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,378.50 : 356,841.75 = 356,841.75 : x
  2. Step 2: Convert to fraction form
    151,378.50/356,841.75 = 356,841.75/x
  3. Step 3: Cross multiply
    151,378.50x = 356,841.75 × 356,841.75
  4. Step 4: Simplify right side
    151,378.50x = 127,336,034,543.06
  5. Step 5: Solve for x
    x = 127,336,034,543.06/151,378.50
  6. Step 6: Final answer
    x = 841,176.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.