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Finding the Third Proportional to 190,495.13 and 416,404.13

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Solution

The third proportional to 190,495.13 and 416,404.13 is: 910,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,495.13 : 416,404.13 = 416,404.13 : x
  2. Step 2: Convert to fraction form
    190,495.13/416,404.13 = 416,404.13/x
  3. Step 3: Cross multiply
    190,495.13x = 416,404.13 × 416,404.13
  4. Step 4: Simplify right side
    190,495.13x = 173,392,395,317.02
  5. Step 5: Solve for x
    x = 173,392,395,317.02/190,495.13
  6. Step 6: Final answer
    x = 910,219.59

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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.