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Finding the Third Proportional to 191,340 and 418,933.50

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Solution

The third proportional to 191,340 and 418,933.50 is: 917,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,340 : 418,933.50 = 418,933.50 : x
  2. Step 2: Convert to fraction form
    191,340/418,933.50 = 418,933.50/x
  3. Step 3: Cross multiply
    191,340x = 418,933.50 × 418,933.50
  4. Step 4: Simplify right side
    191,340x = 175,505,277,422.25
  5. Step 5: Solve for x
    x = 175,505,277,422.25/191,340
  6. Step 6: Final answer
    x = 917,243.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.