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Finding the Third Proportional to 110,945 and 243,007

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Solution

The third proportional to 110,945 and 243,007 is: 532,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,945 : 243,007 = 243,007 : x
  2. Step 2: Convert to fraction form
    110,945/243,007 = 243,007/x
  3. Step 3: Cross multiply
    110,945x = 243,007 × 243,007
  4. Step 4: Simplify right side
    110,945x = 59,052,402,049
  5. Step 5: Solve for x
    x = 59,052,402,049/110,945
  6. Step 6: Final answer
    x = 532,267.36

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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.