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Finding the Third Proportional to 160,005 and 353,273

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Solution

The third proportional to 160,005 and 353,273 is: 779,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,005 : 353,273 = 353,273 : x
  2. Step 2: Convert to fraction form
    160,005/353,273 = 353,273/x
  3. Step 3: Cross multiply
    160,005x = 353,273 × 353,273
  4. Step 4: Simplify right side
    160,005x = 124,801,812,529
  5. Step 5: Solve for x
    x = 124,801,812,529/160,005
  6. Step 6: Final answer
    x = 779,986.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.