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Finding the Third Proportional to 118,532 and 183,416

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Solution

The third proportional to 118,532 and 183,416 is: 283,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,532 : 183,416 = 183,416 : x
  2. Step 2: Convert to fraction form
    118,532/183,416 = 183,416/x
  3. Step 3: Cross multiply
    118,532x = 183,416 × 183,416
  4. Step 4: Simplify right side
    118,532x = 33,641,429,056
  5. Step 5: Solve for x
    x = 33,641,429,056/118,532
  6. Step 6: Final answer
    x = 283,817.27

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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.