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Finding the Third Proportional to 150,669 and 328,126.50

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Solution

The third proportional to 150,669 and 328,126.50 is: 714,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,669 : 328,126.50 = 328,126.50 : x
  2. Step 2: Convert to fraction form
    150,669/328,126.50 = 328,126.50/x
  3. Step 3: Cross multiply
    150,669x = 328,126.50 × 328,126.50
  4. Step 4: Simplify right side
    150,669x = 107,667,000,002.25
  5. Step 5: Solve for x
    x = 107,667,000,002.25/150,669
  6. Step 6: Final answer
    x = 714,592.92

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