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Finding the Third Proportional to 249,601.50 and 374,280.75

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Solution

The third proportional to 249,601.50 and 374,280.75 is: 561,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,601.50 : 374,280.75 = 374,280.75 : x
  2. Step 2: Convert to fraction form
    249,601.50/374,280.75 = 374,280.75/x
  3. Step 3: Cross multiply
    249,601.50x = 374,280.75 × 374,280.75
  4. Step 4: Simplify right side
    249,601.50x = 140,086,079,820.56
  5. Step 5: Solve for x
    x = 140,086,079,820.56/249,601.50
  6. Step 6: Final answer
    x = 561,238.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.