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Finding the Third Proportional to 160,334 and 344,786

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Solution

The third proportional to 160,334 and 344,786 is: 741,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,334 : 344,786 = 344,786 : x
  2. Step 2: Convert to fraction form
    160,334/344,786 = 344,786/x
  3. Step 3: Cross multiply
    160,334x = 344,786 × 344,786
  4. Step 4: Simplify right side
    160,334x = 118,877,385,796
  5. Step 5: Solve for x
    x = 118,877,385,796/160,334
  6. Step 6: Final answer
    x = 741,435.91

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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.