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Finding the Third Proportional to 238,114.69 and 364,758.19

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Solution

The third proportional to 238,114.69 and 364,758.19 is: 558,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,114.69 : 364,758.19 = 364,758.19 : x
  2. Step 2: Convert to fraction form
    238,114.69/364,758.19 = 364,758.19/x
  3. Step 3: Cross multiply
    238,114.69x = 364,758.19 × 364,758.19
  4. Step 4: Simplify right side
    238,114.69x = 133,048,535,348.29
  5. Step 5: Solve for x
    x = 133,048,535,348.29/238,114.69
  6. Step 6: Final answer
    x = 558,758.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.