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Finding the Third Proportional to 183,532 and 283,642

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Solution

The third proportional to 183,532 and 283,642 is: 438,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,532 : 283,642 = 283,642 : x
  2. Step 2: Convert to fraction form
    183,532/283,642 = 283,642/x
  3. Step 3: Cross multiply
    183,532x = 283,642 × 283,642
  4. Step 4: Simplify right side
    183,532x = 80,452,784,164
  5. Step 5: Solve for x
    x = 80,452,784,164/183,532
  6. Step 6: Final answer
    x = 438,358.35

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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.