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Finding the Third Proportional to 192,510 and 297,513

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Solution

The third proportional to 192,510 and 297,513 is: 459,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510 : 297,513 = 297,513 : x
  2. Step 2: Convert to fraction form
    192,510/297,513 = 297,513/x
  3. Step 3: Cross multiply
    192,510x = 297,513 × 297,513
  4. Step 4: Simplify right side
    192,510x = 88,513,985,169
  5. Step 5: Solve for x
    x = 88,513,985,169/192,510
  6. Step 6: Final answer
    x = 459,789.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.