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Finding the Third Proportional to 146,468 and 319,792

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Solution

The third proportional to 146,468 and 319,792 is: 698,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,468 : 319,792 = 319,792 : x
  2. Step 2: Convert to fraction form
    146,468/319,792 = 319,792/x
  3. Step 3: Cross multiply
    146,468x = 319,792 × 319,792
  4. Step 4: Simplify right side
    146,468x = 102,266,923,264
  5. Step 5: Solve for x
    x = 102,266,923,264/146,468
  6. Step 6: Final answer
    x = 698,220.25

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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.