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Finding the Third Proportional to 110,506 and 236,524

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Solution

The third proportional to 110,506 and 236,524 is: 506,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506 : 236,524 = 236,524 : x
  2. Step 2: Convert to fraction form
    110,506/236,524 = 236,524/x
  3. Step 3: Cross multiply
    110,506x = 236,524 × 236,524
  4. Step 4: Simplify right side
    110,506x = 55,943,602,576
  5. Step 5: Solve for x
    x = 55,943,602,576/110,506
  6. Step 6: Final answer
    x = 506,249.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.