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Finding the Third Proportional to 198,298.13 and 435,962.25

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Solution

The third proportional to 198,298.13 and 435,962.25 is: 958,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,298.13 : 435,962.25 = 435,962.25 : x
  2. Step 2: Convert to fraction form
    198,298.13/435,962.25 = 435,962.25/x
  3. Step 3: Cross multiply
    198,298.13x = 435,962.25 × 435,962.25
  4. Step 4: Simplify right side
    198,298.13x = 190,063,083,425.06
  5. Step 5: Solve for x
    x = 190,063,083,425.06/198,298.13
  6. Step 6: Final answer
    x = 958,471.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.