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Finding the Third Proportional to 166,308 and 256,023

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Solution

The third proportional to 166,308 and 256,023 is: 394,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,308 : 256,023 = 256,023 : x
  2. Step 2: Convert to fraction form
    166,308/256,023 = 256,023/x
  3. Step 3: Cross multiply
    166,308x = 256,023 × 256,023
  4. Step 4: Simplify right side
    166,308x = 65,547,776,529
  5. Step 5: Solve for x
    x = 65,547,776,529/166,308
  6. Step 6: Final answer
    x = 394,134.84

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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.