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Finding the Third Proportional to 160,963.88 and 249,124.50

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Solution

The third proportional to 160,963.88 and 249,124.50 is: 385,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,963.88 : 249,124.50 = 249,124.50 : x
  2. Step 2: Convert to fraction form
    160,963.88/249,124.50 = 249,124.50/x
  3. Step 3: Cross multiply
    160,963.88x = 249,124.50 × 249,124.50
  4. Step 4: Simplify right side
    160,963.88x = 62,063,016,500.25
  5. Step 5: Solve for x
    x = 62,063,016,500.25/160,963.88
  6. Step 6: Final answer
    x = 385,571.09

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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.