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Finding the Third Proportional to 146,562 and 319,368

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Solution

The third proportional to 146,562 and 319,368 is: 695,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,562 : 319,368 = 319,368 : x
  2. Step 2: Convert to fraction form
    146,562/319,368 = 319,368/x
  3. Step 3: Cross multiply
    146,562x = 319,368 × 319,368
  4. Step 4: Simplify right side
    146,562x = 101,995,919,424
  5. Step 5: Solve for x
    x = 101,995,919,424/146,562
  6. Step 6: Final answer
    x = 695,923.36

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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.