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Finding the Third Proportional to 166,526 and 366,984

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Solution

The third proportional to 166,526 and 366,984 is: 808,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,526 : 366,984 = 366,984 : x
  2. Step 2: Convert to fraction form
    166,526/366,984 = 366,984/x
  3. Step 3: Cross multiply
    166,526x = 366,984 × 366,984
  4. Step 4: Simplify right side
    166,526x = 134,677,256,256
  5. Step 5: Solve for x
    x = 134,677,256,256/166,526
  6. Step 6: Final answer
    x = 808,746.12

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