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Finding the Third Proportional to 120,463.50 and 176,374.50

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Solution

The third proportional to 120,463.50 and 176,374.50 is: 258,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463.50 : 176,374.50 = 176,374.50 : x
  2. Step 2: Convert to fraction form
    120,463.50/176,374.50 = 176,374.50/x
  3. Step 3: Cross multiply
    120,463.50x = 176,374.50 × 176,374.50
  4. Step 4: Simplify right side
    120,463.50x = 31,107,964,250.25
  5. Step 5: Solve for x
    x = 31,107,964,250.25/120,463.50
  6. Step 6: Final answer
    x = 258,235.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.