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Finding the Third Proportional to 175,950.98 and 384,155.95

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Solution

The third proportional to 175,950.98 and 384,155.95 is: 838,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,950.98 : 384,155.95 = 384,155.95 : x
  2. Step 2: Convert to fraction form
    175,950.98/384,155.95 = 384,155.95/x
  3. Step 3: Cross multiply
    175,950.98x = 384,155.95 × 384,155.95
  4. Step 4: Simplify right side
    175,950.98x = 147,575,791,819.55
  5. Step 5: Solve for x
    x = 147,575,791,819.55/175,950.98
  6. Step 6: Final answer
    x = 838,732.40

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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.