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Finding the Third Proportional to 243,036 and 367,794

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Solution

The third proportional to 243,036 and 367,794 is: 556,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,036 : 367,794 = 367,794 : x
  2. Step 2: Convert to fraction form
    243,036/367,794 = 367,794/x
  3. Step 3: Cross multiply
    243,036x = 367,794 × 367,794
  4. Step 4: Simplify right side
    243,036x = 135,272,426,436
  5. Step 5: Solve for x
    x = 135,272,426,436/243,036
  6. Step 6: Final answer
    x = 556,594.19

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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.