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Finding the Third Proportional to 200,094.75 and 305,224.88

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Solution

The third proportional to 200,094.75 and 305,224.88 is: 465,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,094.75 : 305,224.88 = 305,224.88 : x
  2. Step 2: Convert to fraction form
    200,094.75/305,224.88 = 305,224.88/x
  3. Step 3: Cross multiply
    200,094.75x = 305,224.88 × 305,224.88
  4. Step 4: Simplify right side
    200,094.75x = 93,162,224,318.77
  5. Step 5: Solve for x
    x = 93,162,224,318.77/200,094.75
  6. Step 6: Final answer
    x = 465,590.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.