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Finding the Third Proportional to 116,613 and 243,583.50

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Solution

The third proportional to 116,613 and 243,583.50 is: 508,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,613 : 243,583.50 = 243,583.50 : x
  2. Step 2: Convert to fraction form
    116,613/243,583.50 = 243,583.50/x
  3. Step 3: Cross multiply
    116,613x = 243,583.50 × 243,583.50
  4. Step 4: Simplify right side
    116,613x = 59,332,921,472.25
  5. Step 5: Solve for x
    x = 59,332,921,472.25/116,613
  6. Step 6: Final answer
    x = 508,801.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.