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Finding the Third Proportional to 119,403 and 259,886.25

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Solution

The third proportional to 119,403 and 259,886.25 is: 565,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,403 : 259,886.25 = 259,886.25 : x
  2. Step 2: Convert to fraction form
    119,403/259,886.25 = 259,886.25/x
  3. Step 3: Cross multiply
    119,403x = 259,886.25 × 259,886.25
  4. Step 4: Simplify right side
    119,403x = 67,540,862,939.06
  5. Step 5: Solve for x
    x = 67,540,862,939.06/119,403
  6. Step 6: Final answer
    x = 565,654.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.