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Finding the Third Proportional to 118,308 and 183,294

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Solution

The third proportional to 118,308 and 183,294 is: 283,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,308 : 183,294 = 183,294 : x
  2. Step 2: Convert to fraction form
    118,308/183,294 = 183,294/x
  3. Step 3: Cross multiply
    118,308x = 183,294 × 183,294
  4. Step 4: Simplify right side
    118,308x = 33,596,690,436
  5. Step 5: Solve for x
    x = 33,596,690,436/118,308
  6. Step 6: Final answer
    x = 283,976.49

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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.