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Finding the Third Proportional to 166,681 and 264,785

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Solution

The third proportional to 166,681 and 264,785 is: 420,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,681 : 264,785 = 264,785 : x
  2. Step 2: Convert to fraction form
    166,681/264,785 = 264,785/x
  3. Step 3: Cross multiply
    166,681x = 264,785 × 264,785
  4. Step 4: Simplify right side
    166,681x = 70,111,096,225
  5. Step 5: Solve for x
    x = 70,111,096,225/166,681
  6. Step 6: Final answer
    x = 420,630.40

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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.