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Finding the Third Proportional to 183,102 and 283,365

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Solution

The third proportional to 183,102 and 283,365 is: 438,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,102 : 283,365 = 283,365 : x
  2. Step 2: Convert to fraction form
    183,102/283,365 = 283,365/x
  3. Step 3: Cross multiply
    183,102x = 283,365 × 283,365
  4. Step 4: Simplify right side
    183,102x = 80,295,723,225
  5. Step 5: Solve for x
    x = 80,295,723,225/183,102
  6. Step 6: Final answer
    x = 438,530.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.