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Finding the Third Proportional to 160,582 and 349,761

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Solution

The third proportional to 160,582 and 349,761 is: 761,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,582 : 349,761 = 349,761 : x
  2. Step 2: Convert to fraction form
    160,582/349,761 = 349,761/x
  3. Step 3: Cross multiply
    160,582x = 349,761 × 349,761
  4. Step 4: Simplify right side
    160,582x = 122,332,757,121
  5. Step 5: Solve for x
    x = 122,332,757,121/160,582
  6. Step 6: Final answer
    x = 761,808.65

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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.