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Finding the Third Proportional to 100,706 and 235,205

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Solution

The third proportional to 100,706 and 235,205 is: 549,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706 : 235,205 = 235,205 : x
  2. Step 2: Convert to fraction form
    100,706/235,205 = 235,205/x
  3. Step 3: Cross multiply
    100,706x = 235,205 × 235,205
  4. Step 4: Simplify right side
    100,706x = 55,321,392,025
  5. Step 5: Solve for x
    x = 55,321,392,025/100,706
  6. Step 6: Final answer
    x = 549,335.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.