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Finding the Third Proportional to 185,280.75 and 404,445.75

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Solution

The third proportional to 185,280.75 and 404,445.75 is: 882,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280.75 : 404,445.75 = 404,445.75 : x
  2. Step 2: Convert to fraction form
    185,280.75/404,445.75 = 404,445.75/x
  3. Step 3: Cross multiply
    185,280.75x = 404,445.75 × 404,445.75
  4. Step 4: Simplify right side
    185,280.75x = 163,576,364,693.06
  5. Step 5: Solve for x
    x = 163,576,364,693.06/185,280.75
  6. Step 6: Final answer
    x = 882,856.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.