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Finding the Third Proportional to 194,109.75 and 418,837.50

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Solution

The third proportional to 194,109.75 and 418,837.50 is: 903,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,109.75 : 418,837.50 = 418,837.50 : x
  2. Step 2: Convert to fraction form
    194,109.75/418,837.50 = 418,837.50/x
  3. Step 3: Cross multiply
    194,109.75x = 418,837.50 × 418,837.50
  4. Step 4: Simplify right side
    194,109.75x = 175,424,851,406.25
  5. Step 5: Solve for x
    x = 175,424,851,406.25/194,109.75
  6. Step 6: Final answer
    x = 903,740.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.