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Finding the Third Proportional to 150,941.25 and 323,017.88

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Solution

The third proportional to 150,941.25 and 323,017.88 is: 691,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,941.25 : 323,017.88 = 323,017.88 : x
  2. Step 2: Convert to fraction form
    150,941.25/323,017.88 = 323,017.88/x
  3. Step 3: Cross multiply
    150,941.25x = 323,017.88 × 323,017.88
  4. Step 4: Simplify right side
    150,941.25x = 104,340,547,569.52
  5. Step 5: Solve for x
    x = 104,340,547,569.52/150,941.25
  6. Step 6: Final answer
    x = 691,265.96

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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.