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Finding the Third Proportional to 160,230 and 249,096

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Solution

The third proportional to 160,230 and 249,096 is: 387,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,230 : 249,096 = 249,096 : x
  2. Step 2: Convert to fraction form
    160,230/249,096 = 249,096/x
  3. Step 3: Cross multiply
    160,230x = 249,096 × 249,096
  4. Step 4: Simplify right side
    160,230x = 62,048,817,216
  5. Step 5: Solve for x
    x = 62,048,817,216/160,230
  6. Step 6: Final answer
    x = 387,248.44

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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.