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Finding the Third Proportional to 100,708 and 235,210

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Solution

The third proportional to 100,708 and 235,210 is: 549,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708 : 235,210 = 235,210 : x
  2. Step 2: Convert to fraction form
    100,708/235,210 = 235,210/x
  3. Step 3: Cross multiply
    100,708x = 235,210 × 235,210
  4. Step 4: Simplify right side
    100,708x = 55,323,744,100
  5. Step 5: Solve for x
    x = 55,323,744,100/100,708
  6. Step 6: Final answer
    x = 549,348.06

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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.