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Finding the Third Proportional to 196,983 and 286,861.50

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Solution

The third proportional to 196,983 and 286,861.50 is: 417,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,983 : 286,861.50 = 286,861.50 : x
  2. Step 2: Convert to fraction form
    196,983/286,861.50 = 286,861.50/x
  3. Step 3: Cross multiply
    196,983x = 286,861.50 × 286,861.50
  4. Step 4: Simplify right side
    196,983x = 82,289,520,182.25
  5. Step 5: Solve for x
    x = 82,289,520,182.25/196,983
  6. Step 6: Final answer
    x = 417,749.35

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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.