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Finding the Third Proportional to 160,279 and 249,168

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Solution

The third proportional to 160,279 and 249,168 is: 387,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,279 : 249,168 = 249,168 : x
  2. Step 2: Convert to fraction form
    160,279/249,168 = 249,168/x
  3. Step 3: Cross multiply
    160,279x = 249,168 × 249,168
  4. Step 4: Simplify right side
    160,279x = 62,084,692,224
  5. Step 5: Solve for x
    x = 62,084,692,224/160,279
  6. Step 6: Final answer
    x = 387,353.88

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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.