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Finding the Third Proportional to 90,490.50 and 183,411

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Solution

The third proportional to 90,490.50 and 183,411 is: 371,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,490.50 : 183,411 = 183,411 : x
  2. Step 2: Convert to fraction form
    90,490.50/183,411 = 183,411/x
  3. Step 3: Cross multiply
    90,490.50x = 183,411 × 183,411
  4. Step 4: Simplify right side
    90,490.50x = 33,639,594,921
  5. Step 5: Solve for x
    x = 33,639,594,921/90,490.50
  6. Step 6: Final answer
    x = 371,747.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.