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Finding the Third Proportional to 118,670 and 183,240

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Solution

The third proportional to 118,670 and 183,240 is: 282,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,670 : 183,240 = 183,240 : x
  2. Step 2: Convert to fraction form
    118,670/183,240 = 183,240/x
  3. Step 3: Cross multiply
    118,670x = 183,240 × 183,240
  4. Step 4: Simplify right side
    118,670x = 33,576,897,600
  5. Step 5: Solve for x
    x = 33,576,897,600/118,670
  6. Step 6: Final answer
    x = 282,943.44

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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.