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Finding the Third Proportional to 186,961.50 and 290,044.50

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Solution

The third proportional to 186,961.50 and 290,044.50 is: 449,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,961.50 : 290,044.50 = 290,044.50 : x
  2. Step 2: Convert to fraction form
    186,961.50/290,044.50 = 290,044.50/x
  3. Step 3: Cross multiply
    186,961.50x = 290,044.50 × 290,044.50
  4. Step 4: Simplify right side
    186,961.50x = 84,125,811,980.25
  5. Step 5: Solve for x
    x = 84,125,811,980.25/186,961.50
  6. Step 6: Final answer
    x = 449,963.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.