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Finding the Third Proportional to 255,504 and 392,184

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Solution

The third proportional to 255,504 and 392,184 is: 601,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,504 : 392,184 = 392,184 : x
  2. Step 2: Convert to fraction form
    255,504/392,184 = 392,184/x
  3. Step 3: Cross multiply
    255,504x = 392,184 × 392,184
  4. Step 4: Simplify right side
    255,504x = 153,808,289,856
  5. Step 5: Solve for x
    x = 153,808,289,856/255,504
  6. Step 6: Final answer
    x = 601,979.97

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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.