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Finding the Third Proportional to 167,076 and 255,906.50

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Solution

The third proportional to 167,076 and 255,906.50 is: 391,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,076 : 255,906.50 = 255,906.50 : x
  2. Step 2: Convert to fraction form
    167,076/255,906.50 = 255,906.50/x
  3. Step 3: Cross multiply
    167,076x = 255,906.50 × 255,906.50
  4. Step 4: Simplify right side
    167,076x = 65,488,136,742.25
  5. Step 5: Solve for x
    x = 65,488,136,742.25/167,076
  6. Step 6: Final answer
    x = 391,966.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.