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Finding the Third Proportional to 118,307 and 183,293

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Solution

The third proportional to 118,307 and 183,293 is: 283,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,307 : 183,293 = 183,293 : x
  2. Step 2: Convert to fraction form
    118,307/183,293 = 183,293/x
  3. Step 3: Cross multiply
    118,307x = 183,293 × 183,293
  4. Step 4: Simplify right side
    118,307x = 33,596,323,849
  5. Step 5: Solve for x
    x = 33,596,323,849/118,307
  6. Step 6: Final answer
    x = 283,975.79

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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.