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Finding the Third Proportional to 167,402 and 261,255

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Solution

The third proportional to 167,402 and 261,255 is: 407,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,402 : 261,255 = 261,255 : x
  2. Step 2: Convert to fraction form
    167,402/261,255 = 261,255/x
  3. Step 3: Cross multiply
    167,402x = 261,255 × 261,255
  4. Step 4: Simplify right side
    167,402x = 68,254,175,025
  5. Step 5: Solve for x
    x = 68,254,175,025/167,402
  6. Step 6: Final answer
    x = 407,726.16

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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.