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Finding the Third Proportional to 167,404 and 261,258

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Solution

The third proportional to 167,404 and 261,258 is: 407,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,404 : 261,258 = 261,258 : x
  2. Step 2: Convert to fraction form
    167,404/261,258 = 261,258/x
  3. Step 3: Cross multiply
    167,404x = 261,258 × 261,258
  4. Step 4: Simplify right side
    167,404x = 68,255,742,564
  5. Step 5: Solve for x
    x = 68,255,742,564/167,404
  6. Step 6: Final answer
    x = 407,730.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.