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Finding the Third Proportional to 146,731.50 and 233,411

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Solution

The third proportional to 146,731.50 and 233,411 is: 371,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.50 : 233,411 = 233,411 : x
  2. Step 2: Convert to fraction form
    146,731.50/233,411 = 233,411/x
  3. Step 3: Cross multiply
    146,731.50x = 233,411 × 233,411
  4. Step 4: Simplify right side
    146,731.50x = 54,480,694,921
  5. Step 5: Solve for x
    x = 54,480,694,921/146,731.50
  6. Step 6: Final answer
    x = 371,295.15

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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.