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Finding the Third Proportional to 190,393.13 and 405,237

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Solution

The third proportional to 190,393.13 and 405,237 is: 862,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,393.13 : 405,237 = 405,237 : x
  2. Step 2: Convert to fraction form
    190,393.13/405,237 = 405,237/x
  3. Step 3: Cross multiply
    190,393.13x = 405,237 × 405,237
  4. Step 4: Simplify right side
    190,393.13x = 164,217,026,169
  5. Step 5: Solve for x
    x = 164,217,026,169/190,393.13
  6. Step 6: Final answer
    x = 862,515.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.