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Finding the Third Proportional to 185,721.75 and 307,282.50

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Solution

The third proportional to 185,721.75 and 307,282.50 is: 508,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,721.75 : 307,282.50 = 307,282.50 : x
  2. Step 2: Convert to fraction form
    185,721.75/307,282.50 = 307,282.50/x
  3. Step 3: Cross multiply
    185,721.75x = 307,282.50 × 307,282.50
  4. Step 4: Simplify right side
    185,721.75x = 94,422,534,806.25
  5. Step 5: Solve for x
    x = 94,422,534,806.25/185,721.75
  6. Step 6: Final answer
    x = 508,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.