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Finding the Third Proportional to 255,340.69 and 384,112.13

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Solution

The third proportional to 255,340.69 and 384,112.13 is: 577,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,340.69 : 384,112.13 = 384,112.13 : x
  2. Step 2: Convert to fraction form
    255,340.69/384,112.13 = 384,112.13/x
  3. Step 3: Cross multiply
    255,340.69x = 384,112.13 × 384,112.13
  4. Step 4: Simplify right side
    255,340.69x = 147,542,124,572.02
  5. Step 5: Solve for x
    x = 147,542,124,572.02/255,340.69
  6. Step 6: Final answer
    x = 577,824.58

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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.