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Finding the Third Proportional to 179,564 and 273,074

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Solution

The third proportional to 179,564 and 273,074 is: 415,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,564 : 273,074 = 273,074 : x
  2. Step 2: Convert to fraction form
    179,564/273,074 = 273,074/x
  3. Step 3: Cross multiply
    179,564x = 273,074 × 273,074
  4. Step 4: Simplify right side
    179,564x = 74,569,409,476
  5. Step 5: Solve for x
    x = 74,569,409,476/179,564
  6. Step 6: Final answer
    x = 415,280.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.