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Finding the Third Proportional to 236,863.13 and 364,078.13

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Solution

The third proportional to 236,863.13 and 364,078.13 is: 559,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,863.13 : 364,078.13 = 364,078.13 : x
  2. Step 2: Convert to fraction form
    236,863.13/364,078.13 = 364,078.13/x
  3. Step 3: Cross multiply
    236,863.13x = 364,078.13 × 364,078.13
  4. Step 4: Simplify right side
    236,863.13x = 132,552,881,103.52
  5. Step 5: Solve for x
    x = 132,552,881,103.52/236,863.13
  6. Step 6: Final answer
    x = 559,618.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.