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Finding the Third Proportional to 153,375.75 and 328,074

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Solution

The third proportional to 153,375.75 and 328,074 is: 701,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,375.75 : 328,074 = 328,074 : x
  2. Step 2: Convert to fraction form
    153,375.75/328,074 = 328,074/x
  3. Step 3: Cross multiply
    153,375.75x = 328,074 × 328,074
  4. Step 4: Simplify right side
    153,375.75x = 107,632,549,476
  5. Step 5: Solve for x
    x = 107,632,549,476/153,375.75
  6. Step 6: Final answer
    x = 701,757.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.