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Finding the Third Proportional to 146,838 and 233,650

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Solution

The third proportional to 146,838 and 233,650 is: 371,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,838 : 233,650 = 233,650 : x
  2. Step 2: Convert to fraction form
    146,838/233,650 = 233,650/x
  3. Step 3: Cross multiply
    146,838x = 233,650 × 233,650
  4. Step 4: Simplify right side
    146,838x = 54,592,322,500
  5. Step 5: Solve for x
    x = 54,592,322,500/146,838
  6. Step 6: Final answer
    x = 371,786.07

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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.