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Finding the Third Proportional to 158,452.50 and 352,324.50

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Solution

The third proportional to 158,452.50 and 352,324.50 is: 783,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,452.50 : 352,324.50 = 352,324.50 : x
  2. Step 2: Convert to fraction form
    158,452.50/352,324.50 = 352,324.50/x
  3. Step 3: Cross multiply
    158,452.50x = 352,324.50 × 352,324.50
  4. Step 4: Simplify right side
    158,452.50x = 124,132,553,300.25
  5. Step 5: Solve for x
    x = 124,132,553,300.25/158,452.50
  6. Step 6: Final answer
    x = 783,405.46

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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.