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Finding the Third Proportional to 183,276.56 and 268,353.84

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Solution

The third proportional to 183,276.56 and 268,353.84 is: 392,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,276.56 : 268,353.84 = 268,353.84 : x
  2. Step 2: Convert to fraction form
    183,276.56/268,353.84 = 268,353.84/x
  3. Step 3: Cross multiply
    183,276.56x = 268,353.84 × 268,353.84
  4. Step 4: Simplify right side
    183,276.56x = 72,013,785,455.40
  5. Step 5: Solve for x
    x = 72,013,785,455.40/183,276.56
  6. Step 6: Final answer
    x = 392,924.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.