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Finding the Third Proportional to 183,685 and 283,711.63

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Solution

The third proportional to 183,685 and 283,711.63 is: 438,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,685 : 283,711.63 = 283,711.63 : x
  2. Step 2: Convert to fraction form
    183,685/283,711.63 = 283,711.63/x
  3. Step 3: Cross multiply
    183,685x = 283,711.63 × 283,711.63
  4. Step 4: Simplify right side
    183,685x = 80,492,286,160.14
  5. Step 5: Solve for x
    x = 80,492,286,160.14/183,685
  6. Step 6: Final answer
    x = 438,208.27

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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.