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Finding the Third Proportional to 236,314.13 and 363,232.13

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Solution

The third proportional to 236,314.13 and 363,232.13 is: 558,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,314.13 : 363,232.13 = 363,232.13 : x
  2. Step 2: Convert to fraction form
    236,314.13/363,232.13 = 363,232.13/x
  3. Step 3: Cross multiply
    236,314.13x = 363,232.13 × 363,232.13
  4. Step 4: Simplify right side
    236,314.13x = 131,937,576,632.02
  5. Step 5: Solve for x
    x = 131,937,576,632.02/236,314.13
  6. Step 6: Final answer
    x = 558,314.39

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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.