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Finding the Third Proportional to 190,690.88 and 418,014

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Solution

The third proportional to 190,690.88 and 418,014 is: 916,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,690.88 : 418,014 = 418,014 : x
  2. Step 2: Convert to fraction form
    190,690.88/418,014 = 418,014/x
  3. Step 3: Cross multiply
    190,690.88x = 418,014 × 418,014
  4. Step 4: Simplify right side
    190,690.88x = 174,735,704,196
  5. Step 5: Solve for x
    x = 174,735,704,196/190,690.88
  6. Step 6: Final answer
    x = 916,329.66

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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.