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Finding the Third Proportional to 179,184 and 392,784

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Solution

The third proportional to 179,184 and 392,784 is: 861,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,184 : 392,784 = 392,784 : x
  2. Step 2: Convert to fraction form
    179,184/392,784 = 392,784/x
  3. Step 3: Cross multiply
    179,184x = 392,784 × 392,784
  4. Step 4: Simplify right side
    179,184x = 154,279,270,656
  5. Step 5: Solve for x
    x = 154,279,270,656/179,184
  6. Step 6: Final answer
    x = 861,010.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.