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Finding the Third Proportional to 118,304 and 183,532.50

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Solution

The third proportional to 118,304 and 183,532.50 is: 284,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,304 : 183,532.50 = 183,532.50 : x
  2. Step 2: Convert to fraction form
    118,304/183,532.50 = 183,532.50/x
  3. Step 3: Cross multiply
    118,304x = 183,532.50 × 183,532.50
  4. Step 4: Simplify right side
    118,304x = 33,684,178,556.25
  5. Step 5: Solve for x
    x = 33,684,178,556.25/118,304
  6. Step 6: Final answer
    x = 284,725.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.