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Finding the Third Proportional to 193,093.13 and 420,513

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Solution

The third proportional to 193,093.13 and 420,513 is: 915,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,093.13 : 420,513 = 420,513 : x
  2. Step 2: Convert to fraction form
    193,093.13/420,513 = 420,513/x
  3. Step 3: Cross multiply
    193,093.13x = 420,513 × 420,513
  4. Step 4: Simplify right side
    193,093.13x = 176,831,183,169
  5. Step 5: Solve for x
    x = 176,831,183,169/193,093.13
  6. Step 6: Final answer
    x = 915,781.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.