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Finding the Third Proportional to 166,580 and 366,332

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Solution

The third proportional to 166,580 and 366,332 is: 805,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,580 : 366,332 = 366,332 : x
  2. Step 2: Convert to fraction form
    166,580/366,332 = 366,332/x
  3. Step 3: Cross multiply
    166,580x = 366,332 × 366,332
  4. Step 4: Simplify right side
    166,580x = 134,199,134,224
  5. Step 5: Solve for x
    x = 134,199,134,224/166,580
  6. Step 6: Final answer
    x = 805,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.