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Finding the Third Proportional to 166,572 and 255,875

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Solution

The third proportional to 166,572 and 255,875 is: 393,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,572 : 255,875 = 255,875 : x
  2. Step 2: Convert to fraction form
    166,572/255,875 = 255,875/x
  3. Step 3: Cross multiply
    166,572x = 255,875 × 255,875
  4. Step 4: Simplify right side
    166,572x = 65,472,015,625
  5. Step 5: Solve for x
    x = 65,472,015,625/166,572
  6. Step 6: Final answer
    x = 393,055.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.