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Finding the Third Proportional to 183,473 and 274,356.50

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Solution

The third proportional to 183,473 and 274,356.50 is: 410,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,473 : 274,356.50 = 274,356.50 : x
  2. Step 2: Convert to fraction form
    183,473/274,356.50 = 274,356.50/x
  3. Step 3: Cross multiply
    183,473x = 274,356.50 × 274,356.50
  4. Step 4: Simplify right side
    183,473x = 75,271,489,092.25
  5. Step 5: Solve for x
    x = 75,271,489,092.25/183,473
  6. Step 6: Final answer
    x = 410,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.