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Finding the Third Proportional to 166,592 and 264,952

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Solution

The third proportional to 166,592 and 264,952 is: 421,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,592 : 264,952 = 264,952 : x
  2. Step 2: Convert to fraction form
    166,592/264,952 = 264,952/x
  3. Step 3: Cross multiply
    166,592x = 264,952 × 264,952
  4. Step 4: Simplify right side
    166,592x = 70,199,562,304
  5. Step 5: Solve for x
    x = 70,199,562,304/166,592
  6. Step 6: Final answer
    x = 421,386.15

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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.