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Finding the Third Proportional to 160,857 and 349,362

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Solution

The third proportional to 160,857 and 349,362 is: 758,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,857 : 349,362 = 349,362 : x
  2. Step 2: Convert to fraction form
    160,857/349,362 = 349,362/x
  3. Step 3: Cross multiply
    160,857x = 349,362 × 349,362
  4. Step 4: Simplify right side
    160,857x = 122,053,807,044
  5. Step 5: Solve for x
    x = 122,053,807,044/160,857
  6. Step 6: Final answer
    x = 758,772.12

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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.