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Finding the Third Proportional to 160,188 and 240,282

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Solution

The third proportional to 160,188 and 240,282 is: 360,423

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,188 : 240,282 = 240,282 : x
  2. Step 2: Convert to fraction form
    160,188/240,282 = 240,282/x
  3. Step 3: Cross multiply
    160,188x = 240,282 × 240,282
  4. Step 4: Simplify right side
    160,188x = 57,735,439,524
  5. Step 5: Solve for x
    x = 57,735,439,524/160,188
  6. Step 6: Final answer
    x = 360,423

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.