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Finding the Third Proportional to 154,746 and 328,116

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Solution

The third proportional to 154,746 and 328,116 is: 695,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,746 : 328,116 = 328,116 : x
  2. Step 2: Convert to fraction form
    154,746/328,116 = 328,116/x
  3. Step 3: Cross multiply
    154,746x = 328,116 × 328,116
  4. Step 4: Simplify right side
    154,746x = 107,660,109,456
  5. Step 5: Solve for x
    x = 107,660,109,456/154,746
  6. Step 6: Final answer
    x = 695,721.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.