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Finding the Third Proportional to 146,738 and 233,420

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Solution

The third proportional to 146,738 and 233,420 is: 371,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,738 : 233,420 = 233,420 : x
  2. Step 2: Convert to fraction form
    146,738/233,420 = 233,420/x
  3. Step 3: Cross multiply
    146,738x = 233,420 × 233,420
  4. Step 4: Simplify right side
    146,738x = 54,484,896,400
  5. Step 5: Solve for x
    x = 54,484,896,400/146,738
  6. Step 6: Final answer
    x = 371,307.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.