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Finding the Third Proportional to 236,874 and 364,459.50

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Solution

The third proportional to 236,874 and 364,459.50 is: 560,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,874 : 364,459.50 = 364,459.50 : x
  2. Step 2: Convert to fraction form
    236,874/364,459.50 = 364,459.50/x
  3. Step 3: Cross multiply
    236,874x = 364,459.50 × 364,459.50
  4. Step 4: Simplify right side
    236,874x = 132,830,727,140.25
  5. Step 5: Solve for x
    x = 132,830,727,140.25/236,874
  6. Step 6: Final answer
    x = 560,765.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.