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Finding the Third Proportional to 185,212.50 and 285,514.50

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Solution

The third proportional to 185,212.50 and 285,514.50 is: 440,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,212.50 : 285,514.50 = 285,514.50 : x
  2. Step 2: Convert to fraction form
    185,212.50/285,514.50 = 285,514.50/x
  3. Step 3: Cross multiply
    185,212.50x = 285,514.50 × 285,514.50
  4. Step 4: Simplify right side
    185,212.50x = 81,518,529,710.25
  5. Step 5: Solve for x
    x = 81,518,529,710.25/185,212.50
  6. Step 6: Final answer
    x = 440,135.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.