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Finding the Third Proportional to 163,948.50 and 240,378.75

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Solution

The third proportional to 163,948.50 and 240,378.75 is: 352,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,948.50 : 240,378.75 = 240,378.75 : x
  2. Step 2: Convert to fraction form
    163,948.50/240,378.75 = 240,378.75/x
  3. Step 3: Cross multiply
    163,948.50x = 240,378.75 × 240,378.75
  4. Step 4: Simplify right side
    163,948.50x = 57,781,943,451.56
  5. Step 5: Solve for x
    x = 57,781,943,451.56/163,948.50
  6. Step 6: Final answer
    x = 352,439.60

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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.