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Finding the Third Proportional to 113,130 and 240,462

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Solution

The third proportional to 113,130 and 240,462 is: 511,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,130 : 240,462 = 240,462 : x
  2. Step 2: Convert to fraction form
    113,130/240,462 = 240,462/x
  3. Step 3: Cross multiply
    113,130x = 240,462 × 240,462
  4. Step 4: Simplify right side
    113,130x = 57,821,973,444
  5. Step 5: Solve for x
    x = 57,821,973,444/113,130
  6. Step 6: Final answer
    x = 511,110.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.