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Finding the Third Proportional to 146,919 and 232,954.50

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Solution

The third proportional to 146,919 and 232,954.50 is: 369,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,919 : 232,954.50 = 232,954.50 : x
  2. Step 2: Convert to fraction form
    146,919/232,954.50 = 232,954.50/x
  3. Step 3: Cross multiply
    146,919x = 232,954.50 × 232,954.50
  4. Step 4: Simplify right side
    146,919x = 54,267,799,070.25
  5. Step 5: Solve for x
    x = 54,267,799,070.25/146,919
  6. Step 6: Final answer
    x = 369,372.23

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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.