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Finding the Third Proportional to 160,804 and 349,288

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Solution

The third proportional to 160,804 and 349,288 is: 758,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804 : 349,288 = 349,288 : x
  2. Step 2: Convert to fraction form
    160,804/349,288 = 349,288/x
  3. Step 3: Cross multiply
    160,804x = 349,288 × 349,288
  4. Step 4: Simplify right side
    160,804x = 122,002,106,944
  5. Step 5: Solve for x
    x = 122,002,106,944/160,804
  6. Step 6: Final answer
    x = 758,700.70

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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.