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Finding the Third Proportional to 160,299.75 and 249,200.25

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Solution

The third proportional to 160,299.75 and 249,200.25 is: 387,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,299.75 : 249,200.25 = 249,200.25 : x
  2. Step 2: Convert to fraction form
    160,299.75/249,200.25 = 249,200.25/x
  3. Step 3: Cross multiply
    160,299.75x = 249,200.25 × 249,200.25
  4. Step 4: Simplify right side
    160,299.75x = 62,100,764,600.06
  5. Step 5: Solve for x
    x = 62,100,764,600.06/160,299.75
  6. Step 6: Final answer
    x = 387,404.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.