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Finding the Third Proportional to 196,959 and 286,827.75

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Solution

The third proportional to 196,959 and 286,827.75 is: 417,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,959 : 286,827.75 = 286,827.75 : x
  2. Step 2: Convert to fraction form
    196,959/286,827.75 = 286,827.75/x
  3. Step 3: Cross multiply
    196,959x = 286,827.75 × 286,827.75
  4. Step 4: Simplify right side
    196,959x = 82,270,158,170.06
  5. Step 5: Solve for x
    x = 82,270,158,170.06/196,959
  6. Step 6: Final answer
    x = 417,701.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.