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Finding the Third Proportional to 192,324 and 418,513

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Solution

The third proportional to 192,324 and 418,513 is: 910,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,324 : 418,513 = 418,513 : x
  2. Step 2: Convert to fraction form
    192,324/418,513 = 418,513/x
  3. Step 3: Cross multiply
    192,324x = 418,513 × 418,513
  4. Step 4: Simplify right side
    192,324x = 175,153,131,169
  5. Step 5: Solve for x
    x = 175,153,131,169/192,324
  6. Step 6: Final answer
    x = 910,719.05

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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.