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Finding the Third Proportional to 160,938 and 353,380

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Solution

The third proportional to 160,938 and 353,380 is: 775,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,938 : 353,380 = 353,380 : x
  2. Step 2: Convert to fraction form
    160,938/353,380 = 353,380/x
  3. Step 3: Cross multiply
    160,938x = 353,380 × 353,380
  4. Step 4: Simplify right side
    160,938x = 124,877,424,400
  5. Step 5: Solve for x
    x = 124,877,424,400/160,938
  6. Step 6: Final answer
    x = 775,934.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.