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Finding the Third Proportional to 236,854.13 and 364,065.75

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Solution

The third proportional to 236,854.13 and 364,065.75 is: 559,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,854.13 : 364,065.75 = 364,065.75 : x
  2. Step 2: Convert to fraction form
    236,854.13/364,065.75 = 364,065.75/x
  3. Step 3: Cross multiply
    236,854.13x = 364,065.75 × 364,065.75
  4. Step 4: Simplify right side
    236,854.13x = 132,543,870,323.06
  5. Step 5: Solve for x
    x = 132,543,870,323.06/236,854.13
  6. Step 6: Final answer
    x = 559,601.27

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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.