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Finding the Third Proportional to 150,708 and 328,386

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Solution

The third proportional to 150,708 and 328,386 is: 715,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,708 : 328,386 = 328,386 : x
  2. Step 2: Convert to fraction form
    150,708/328,386 = 328,386/x
  3. Step 3: Cross multiply
    150,708x = 328,386 × 328,386
  4. Step 4: Simplify right side
    150,708x = 107,837,364,996
  5. Step 5: Solve for x
    x = 107,837,364,996/150,708
  6. Step 6: Final answer
    x = 715,538.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.