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Finding the Third Proportional to 142,453.69 and 311,374.13

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Solution

The third proportional to 142,453.69 and 311,374.13 is: 680,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,453.69 : 311,374.13 = 311,374.13 : x
  2. Step 2: Convert to fraction form
    142,453.69/311,374.13 = 311,374.13/x
  3. Step 3: Cross multiply
    142,453.69x = 311,374.13 × 311,374.13
  4. Step 4: Simplify right side
    142,453.69x = 96,953,845,719.52
  5. Step 5: Solve for x
    x = 96,953,845,719.52/142,453.69
  6. Step 6: Final answer
    x = 680,599.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.