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Finding the Third Proportional to 183,785 and 272,203

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Solution

The third proportional to 183,785 and 272,203 is: 403,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,785 : 272,203 = 272,203 : x
  2. Step 2: Convert to fraction form
    183,785/272,203 = 272,203/x
  3. Step 3: Cross multiply
    183,785x = 272,203 × 272,203
  4. Step 4: Simplify right side
    183,785x = 74,094,473,209
  5. Step 5: Solve for x
    x = 74,094,473,209/183,785
  6. Step 6: Final answer
    x = 403,158.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.