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Finding the Third Proportional to 265,934.81 and 399,176.44

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Solution

The third proportional to 265,934.81 and 399,176.44 is: 599,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,934.81 : 399,176.44 = 399,176.44 : x
  2. Step 2: Convert to fraction form
    265,934.81/399,176.44 = 399,176.44/x
  3. Step 3: Cross multiply
    265,934.81x = 399,176.44 × 399,176.44
  4. Step 4: Simplify right side
    265,934.81x = 159,341,828,255.19
  5. Step 5: Solve for x
    x = 159,341,828,255.19/265,934.81
  6. Step 6: Final answer
    x = 599,176.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.