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Finding the Third Proportional to 256,228.50 and 365,001

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Solution

The third proportional to 256,228.50 and 365,001 is: 519,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,228.50 : 365,001 = 365,001 : x
  2. Step 2: Convert to fraction form
    256,228.50/365,001 = 365,001/x
  3. Step 3: Cross multiply
    256,228.50x = 365,001 × 365,001
  4. Step 4: Simplify right side
    256,228.50x = 133,225,730,001
  5. Step 5: Solve for x
    x = 133,225,730,001/256,228.50
  6. Step 6: Final answer
    x = 519,948.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.