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Finding the Third Proportional to 110,010 and 264,929

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Solution

The third proportional to 110,010 and 264,929 is: 638,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010 : 264,929 = 264,929 : x
  2. Step 2: Convert to fraction form
    110,010/264,929 = 264,929/x
  3. Step 3: Cross multiply
    110,010x = 264,929 × 264,929
  4. Step 4: Simplify right side
    110,010x = 70,187,375,041
  5. Step 5: Solve for x
    x = 70,187,375,041/110,010
  6. Step 6: Final answer
    x = 638,009.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.