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Finding the Third Proportional to 179,931.38 and 268,905.94

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Solution

The third proportional to 179,931.38 and 268,905.94 is: 401,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,931.38 : 268,905.94 = 268,905.94 : x
  2. Step 2: Convert to fraction form
    179,931.38/268,905.94 = 268,905.94/x
  3. Step 3: Cross multiply
    179,931.38x = 268,905.94 × 268,905.94
  4. Step 4: Simplify right side
    179,931.38x = 72,310,403,222.75
  5. Step 5: Solve for x
    x = 72,310,403,222.75/179,931.38
  6. Step 6: Final answer
    x = 401,877.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.