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Finding the Third Proportional to 146,404 and 319,578

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Solution

The third proportional to 146,404 and 319,578 is: 697,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,404 : 319,578 = 319,578 : x
  2. Step 2: Convert to fraction form
    146,404/319,578 = 319,578/x
  3. Step 3: Cross multiply
    146,404x = 319,578 × 319,578
  4. Step 4: Simplify right side
    146,404x = 102,130,098,084
  5. Step 5: Solve for x
    x = 102,130,098,084/146,404
  6. Step 6: Final answer
    x = 697,590.90

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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.