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Finding the Third Proportional to 242,760.38 and 367,513.88

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Solution

The third proportional to 242,760.38 and 367,513.88 is: 556,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,760.38 : 367,513.88 = 367,513.88 : x
  2. Step 2: Convert to fraction form
    242,760.38/367,513.88 = 367,513.88/x
  3. Step 3: Cross multiply
    242,760.38x = 367,513.88 × 367,513.88
  4. Step 4: Simplify right side
    242,760.38x = 135,066,448,317.52
  5. Step 5: Solve for x
    x = 135,066,448,317.52/242,760.38
  6. Step 6: Final answer
    x = 556,377.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.