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Finding the Third Proportional to 204,712.50 and 365,125.50

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Solution

The third proportional to 204,712.50 and 365,125.50 is: 651,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712.50 : 365,125.50 = 365,125.50 : x
  2. Step 2: Convert to fraction form
    204,712.50/365,125.50 = 365,125.50/x
  3. Step 3: Cross multiply
    204,712.50x = 365,125.50 × 365,125.50
  4. Step 4: Simplify right side
    204,712.50x = 133,316,630,750.25
  5. Step 5: Solve for x
    x = 133,316,630,750.25/204,712.50
  6. Step 6: Final answer
    x = 651,238.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.