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Finding the Third Proportional to 160,598 and 345,862

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Solution

The third proportional to 160,598 and 345,862 is: 744,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,598 : 345,862 = 345,862 : x
  2. Step 2: Convert to fraction form
    160,598/345,862 = 345,862/x
  3. Step 3: Cross multiply
    160,598x = 345,862 × 345,862
  4. Step 4: Simplify right side
    160,598x = 119,620,523,044
  5. Step 5: Solve for x
    x = 119,620,523,044/160,598
  6. Step 6: Final answer
    x = 744,844.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.