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Finding the Third Proportional to 163,624.50 and 240,049.50

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Solution

The third proportional to 163,624.50 and 240,049.50 is: 352,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,624.50 : 240,049.50 = 240,049.50 : x
  2. Step 2: Convert to fraction form
    163,624.50/240,049.50 = 240,049.50/x
  3. Step 3: Cross multiply
    163,624.50x = 240,049.50 × 240,049.50
  4. Step 4: Simplify right side
    163,624.50x = 57,623,762,450.25
  5. Step 5: Solve for x
    x = 57,623,762,450.25/163,624.50
  6. Step 6: Final answer
    x = 352,170.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.