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Finding the Third Proportional to 145,452.38 and 308,511.75

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Solution

The third proportional to 145,452.38 and 308,511.75 is: 654,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,452.38 : 308,511.75 = 308,511.75 : x
  2. Step 2: Convert to fraction form
    145,452.38/308,511.75 = 308,511.75/x
  3. Step 3: Cross multiply
    145,452.38x = 308,511.75 × 308,511.75
  4. Step 4: Simplify right side
    145,452.38x = 95,179,499,888.06
  5. Step 5: Solve for x
    x = 95,179,499,888.06/145,452.38
  6. Step 6: Final answer
    x = 654,368.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.