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Finding the Third Proportional to 160,579 and 349,757

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Solution

The third proportional to 160,579 and 349,757 is: 761,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,579 : 349,757 = 349,757 : x
  2. Step 2: Convert to fraction form
    160,579/349,757 = 349,757/x
  3. Step 3: Cross multiply
    160,579x = 349,757 × 349,757
  4. Step 4: Simplify right side
    160,579x = 122,329,959,049
  5. Step 5: Solve for x
    x = 122,329,959,049/160,579
  6. Step 6: Final answer
    x = 761,805.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.