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Finding the Third Proportional to 158,438.25 and 352,302.75

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Solution

The third proportional to 158,438.25 and 352,302.75 is: 783,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438.25 : 352,302.75 = 352,302.75 : x
  2. Step 2: Convert to fraction form
    158,438.25/352,302.75 = 352,302.75/x
  3. Step 3: Cross multiply
    158,438.25x = 352,302.75 × 352,302.75
  4. Step 4: Simplify right side
    158,438.25x = 124,117,227,657.56
  5. Step 5: Solve for x
    x = 124,117,227,657.56/158,438.25
  6. Step 6: Final answer
    x = 783,379.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.