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Finding the Third Proportional to 160,666 and 348,989

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Solution

The third proportional to 160,666 and 348,989 is: 758,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,666 : 348,989 = 348,989 : x
  2. Step 2: Convert to fraction form
    160,666/348,989 = 348,989/x
  3. Step 3: Cross multiply
    160,666x = 348,989 × 348,989
  4. Step 4: Simplify right side
    160,666x = 121,793,322,121
  5. Step 5: Solve for x
    x = 121,793,322,121/160,666
  6. Step 6: Final answer
    x = 758,052.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.