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Finding the Third Proportional to 186,843.75 and 290,108.25

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Solution

The third proportional to 186,843.75 and 290,108.25 is: 450,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,843.75 : 290,108.25 = 290,108.25 : x
  2. Step 2: Convert to fraction form
    186,843.75/290,108.25 = 290,108.25/x
  3. Step 3: Cross multiply
    186,843.75x = 290,108.25 × 290,108.25
  4. Step 4: Simplify right side
    186,843.75x = 84,162,796,718.06
  5. Step 5: Solve for x
    x = 84,162,796,718.06/186,843.75
  6. Step 6: Final answer
    x = 450,444.81

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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.