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Finding the Third Proportional to 110,896 and 243,048

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Solution

The third proportional to 110,896 and 243,048 is: 532,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,896 : 243,048 = 243,048 : x
  2. Step 2: Convert to fraction form
    110,896/243,048 = 243,048/x
  3. Step 3: Cross multiply
    110,896x = 243,048 × 243,048
  4. Step 4: Simplify right side
    110,896x = 59,072,330,304
  5. Step 5: Solve for x
    x = 59,072,330,304/110,896
  6. Step 6: Final answer
    x = 532,682.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.