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Finding the Third Proportional to 146,731 and 233,410

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Solution

The third proportional to 146,731 and 233,410 is: 371,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731 : 233,410 = 233,410 : x
  2. Step 2: Convert to fraction form
    146,731/233,410 = 233,410/x
  3. Step 3: Cross multiply
    146,731x = 233,410 × 233,410
  4. Step 4: Simplify right side
    146,731x = 54,480,228,100
  5. Step 5: Solve for x
    x = 54,480,228,100/146,731
  6. Step 6: Final answer
    x = 371,293.24

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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.