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Finding the Third Proportional to 166,574 and 264,928

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Solution

The third proportional to 166,574 and 264,928 is: 421,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,574 : 264,928 = 264,928 : x
  2. Step 2: Convert to fraction form
    166,574/264,928 = 264,928/x
  3. Step 3: Cross multiply
    166,574x = 264,928 × 264,928
  4. Step 4: Simplify right side
    166,574x = 70,186,845,184
  5. Step 5: Solve for x
    x = 70,186,845,184/166,574
  6. Step 6: Final answer
    x = 421,355.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.