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Finding the Third Proportional to 255,192.75 and 550,248.75

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Solution

The third proportional to 255,192.75 and 550,248.75 is: 1,186,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,192.75 : 550,248.75 = 550,248.75 : x
  2. Step 2: Convert to fraction form
    255,192.75/550,248.75 = 550,248.75/x
  3. Step 3: Cross multiply
    255,192.75x = 550,248.75 × 550,248.75
  4. Step 4: Simplify right side
    255,192.75x = 302,773,686,876.56
  5. Step 5: Solve for x
    x = 302,773,686,876.56/255,192.75
  6. Step 6: Final answer
    x = 1,186,450.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.