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Finding the Third Proportional to 183,685 and 283,712

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Solution

The third proportional to 183,685 and 283,712 is: 438,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,685 : 283,712 = 283,712 : x
  2. Step 2: Convert to fraction form
    183,685/283,712 = 283,712/x
  3. Step 3: Cross multiply
    183,685x = 283,712 × 283,712
  4. Step 4: Simplify right side
    183,685x = 80,492,498,944
  5. Step 5: Solve for x
    x = 80,492,498,944/183,685
  6. Step 6: Final answer
    x = 438,209.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.