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Finding the Third Proportional to 160,233.50 and 249,098.50

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Solution

The third proportional to 160,233.50 and 249,098.50 is: 387,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,233.50 : 249,098.50 = 249,098.50 : x
  2. Step 2: Convert to fraction form
    160,233.50/249,098.50 = 249,098.50/x
  3. Step 3: Cross multiply
    160,233.50x = 249,098.50 × 249,098.50
  4. Step 4: Simplify right side
    160,233.50x = 62,050,062,702.25
  5. Step 5: Solve for x
    x = 62,050,062,702.25/160,233.50
  6. Step 6: Final answer
    x = 387,247.75

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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.