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Finding the Third Proportional to 243,066 and 367,959

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Solution

The third proportional to 243,066 and 367,959 is: 557,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,066 : 367,959 = 367,959 : x
  2. Step 2: Convert to fraction form
    243,066/367,959 = 367,959/x
  3. Step 3: Cross multiply
    243,066x = 367,959 × 367,959
  4. Step 4: Simplify right side
    243,066x = 135,393,825,681
  5. Step 5: Solve for x
    x = 135,393,825,681/243,066
  6. Step 6: Final answer
    x = 557,024.95

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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.