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Finding the Third Proportional to 82,337.63 and 183,607.24

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Solution

The third proportional to 82,337.63 and 183,607.24 is: 409,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,337.63 : 183,607.24 = 183,607.24 : x
  2. Step 2: Convert to fraction form
    82,337.63/183,607.24 = 183,607.24/x
  3. Step 3: Cross multiply
    82,337.63x = 183,607.24 × 183,607.24
  4. Step 4: Simplify right side
    82,337.63x = 33,711,619,383.70
  5. Step 5: Solve for x
    x = 33,711,619,383.70/82,337.63
  6. Step 6: Final answer
    x = 409,431.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.