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Finding the Third Proportional to 167,413 and 256,527

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Solution

The third proportional to 167,413 and 256,527 is: 393,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,413 : 256,527 = 256,527 : x
  2. Step 2: Convert to fraction form
    167,413/256,527 = 256,527/x
  3. Step 3: Cross multiply
    167,413x = 256,527 × 256,527
  4. Step 4: Simplify right side
    167,413x = 65,806,101,729
  5. Step 5: Solve for x
    x = 65,806,101,729/167,413
  6. Step 6: Final answer
    x = 393,076.41

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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.