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Finding the Third Proportional to 151,785 and 326,531.25

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Solution

The third proportional to 151,785 and 326,531.25 is: 702,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785 : 326,531.25 = 326,531.25 : x
  2. Step 2: Convert to fraction form
    151,785/326,531.25 = 326,531.25/x
  3. Step 3: Cross multiply
    151,785x = 326,531.25 × 326,531.25
  4. Step 4: Simplify right side
    151,785x = 106,622,657,226.56
  5. Step 5: Solve for x
    x = 106,622,657,226.56/151,785
  6. Step 6: Final answer
    x = 702,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.