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Finding the Third Proportional to 183,106 and 283,371

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Solution

The third proportional to 183,106 and 283,371 is: 438,539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,106 : 283,371 = 283,371 : x
  2. Step 2: Convert to fraction form
    183,106/283,371 = 283,371/x
  3. Step 3: Cross multiply
    183,106x = 283,371 × 283,371
  4. Step 4: Simplify right side
    183,106x = 80,299,123,641
  5. Step 5: Solve for x
    x = 80,299,123,641/183,106
  6. Step 6: Final answer
    x = 438,539.01

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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.