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Finding the Third Proportional to 196,953.75 and 286,819.13

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Solution

The third proportional to 196,953.75 and 286,819.13 is: 417,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,953.75 : 286,819.13 = 286,819.13 : x
  2. Step 2: Convert to fraction form
    196,953.75/286,819.13 = 286,819.13/x
  3. Step 3: Cross multiply
    196,953.75x = 286,819.13 × 286,819.13
  4. Step 4: Simplify right side
    196,953.75x = 82,265,210,465.77
  5. Step 5: Solve for x
    x = 82,265,210,465.77/196,953.75
  6. Step 6: Final answer
    x = 417,687.96

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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.