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Finding the Third Proportional to 137,988.38 and 284,792.63

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Solution

The third proportional to 137,988.38 and 284,792.63 is: 587,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.38 : 284,792.63 = 284,792.63 : x
  2. Step 2: Convert to fraction form
    137,988.38/284,792.63 = 284,792.63/x
  3. Step 3: Cross multiply
    137,988.38x = 284,792.63 × 284,792.63
  4. Step 4: Simplify right side
    137,988.38x = 81,106,839,254.39
  5. Step 5: Solve for x
    x = 81,106,839,254.39/137,988.38
  6. Step 6: Final answer
    x = 587,780.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.