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Finding the Third Proportional to 243,063 and 367,952

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Solution

The third proportional to 243,063 and 367,952 is: 557,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,063 : 367,952 = 367,952 : x
  2. Step 2: Convert to fraction form
    243,063/367,952 = 367,952/x
  3. Step 3: Cross multiply
    243,063x = 367,952 × 367,952
  4. Step 4: Simplify right side
    243,063x = 135,388,674,304
  5. Step 5: Solve for x
    x = 135,388,674,304/243,063
  6. Step 6: Final answer
    x = 557,010.63

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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.