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Finding the Third Proportional to 113,074 and 243,644

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Solution

The third proportional to 113,074 and 243,644 is: 524,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,074 : 243,644 = 243,644 : x
  2. Step 2: Convert to fraction form
    113,074/243,644 = 243,644/x
  3. Step 3: Cross multiply
    113,074x = 243,644 × 243,644
  4. Step 4: Simplify right side
    113,074x = 59,362,398,736
  5. Step 5: Solve for x
    x = 59,362,398,736/113,074
  6. Step 6: Final answer
    x = 524,987.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.