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Finding the Third Proportional to 166,459.75 and 366,852.16

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Solution

The third proportional to 166,459.75 and 366,852.16 is: 808,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,459.75 : 366,852.16 = 366,852.16 : x
  2. Step 2: Convert to fraction form
    166,459.75/366,852.16 = 366,852.16/x
  3. Step 3: Cross multiply
    166,459.75x = 366,852.16 × 366,852.16
  4. Step 4: Simplify right side
    166,459.75x = 134,580,510,277.34
  5. Step 5: Solve for x
    x = 134,580,510,277.34/166,459.75
  6. Step 6: Final answer
    x = 808,486.82

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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.