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Finding the Third Proportional to 146,866 and 233,421

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Solution

The third proportional to 146,866 and 233,421 is: 370,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,866 : 233,421 = 233,421 : x
  2. Step 2: Convert to fraction form
    146,866/233,421 = 233,421/x
  3. Step 3: Cross multiply
    146,866x = 233,421 × 233,421
  4. Step 4: Simplify right side
    146,866x = 54,485,363,241
  5. Step 5: Solve for x
    x = 54,485,363,241/146,866
  6. Step 6: Final answer
    x = 370,986.91

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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.