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Finding the Third Proportional to 118,416 and 183,360

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Solution

The third proportional to 118,416 and 183,360 is: 283,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,416 : 183,360 = 183,360 : x
  2. Step 2: Convert to fraction form
    118,416/183,360 = 183,360/x
  3. Step 3: Cross multiply
    118,416x = 183,360 × 183,360
  4. Step 4: Simplify right side
    118,416x = 33,620,889,600
  5. Step 5: Solve for x
    x = 33,620,889,600/118,416
  6. Step 6: Final answer
    x = 283,921.85

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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.