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Finding the Third Proportional to 152,567.25 and 319,077.75

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Solution

The third proportional to 152,567.25 and 319,077.75 is: 667,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,567.25 : 319,077.75 = 319,077.75 : x
  2. Step 2: Convert to fraction form
    152,567.25/319,077.75 = 319,077.75/x
  3. Step 3: Cross multiply
    152,567.25x = 319,077.75 × 319,077.75
  4. Step 4: Simplify right side
    152,567.25x = 101,810,610,545.06
  5. Step 5: Solve for x
    x = 101,810,610,545.06/152,567.25
  6. Step 6: Final answer
    x = 667,316.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.