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Finding the Third Proportional to 190,937.25 and 418,597.88

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Solution

The third proportional to 190,937.25 and 418,597.88 is: 917,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937.25 : 418,597.88 = 418,597.88 : x
  2. Step 2: Convert to fraction form
    190,937.25/418,597.88 = 418,597.88/x
  3. Step 3: Cross multiply
    190,937.25x = 418,597.88 × 418,597.88
  4. Step 4: Simplify right side
    190,937.25x = 175,224,180,954.52
  5. Step 5: Solve for x
    x = 175,224,180,954.52/190,937.25
  6. Step 6: Final answer
    x = 917,705.59

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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.