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Finding the Third Proportional to 183,298 and 283,813

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Solution

The third proportional to 183,298 and 283,813 is: 439,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,298 : 283,813 = 283,813 : x
  2. Step 2: Convert to fraction form
    183,298/283,813 = 283,813/x
  3. Step 3: Cross multiply
    183,298x = 283,813 × 283,813
  4. Step 4: Simplify right side
    183,298x = 80,549,818,969
  5. Step 5: Solve for x
    x = 80,549,818,969/183,298
  6. Step 6: Final answer
    x = 439,447.34

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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.