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Finding the Third Proportional to 223,658.25 and 466,177.50

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Solution

The third proportional to 223,658.25 and 466,177.50 is: 971,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,658.25 : 466,177.50 = 466,177.50 : x
  2. Step 2: Convert to fraction form
    223,658.25/466,177.50 = 466,177.50/x
  3. Step 3: Cross multiply
    223,658.25x = 466,177.50 × 466,177.50
  4. Step 4: Simplify right side
    223,658.25x = 217,321,461,506.25
  5. Step 5: Solve for x
    x = 217,321,461,506.25/223,658.25
  6. Step 6: Final answer
    x = 971,667.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.