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Finding the Third Proportional to 168,348.50 and 363,403

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Solution

The third proportional to 168,348.50 and 363,403 is: 784,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348.50 : 363,403 = 363,403 : x
  2. Step 2: Convert to fraction form
    168,348.50/363,403 = 363,403/x
  3. Step 3: Cross multiply
    168,348.50x = 363,403 × 363,403
  4. Step 4: Simplify right side
    168,348.50x = 132,061,740,409
  5. Step 5: Solve for x
    x = 132,061,740,409/168,348.50
  6. Step 6: Final answer
    x = 784,454.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.