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Finding the Third Proportional to 134,313 and 294,460

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Solution

The third proportional to 134,313 and 294,460 is: 645,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,313 : 294,460 = 294,460 : x
  2. Step 2: Convert to fraction form
    134,313/294,460 = 294,460/x
  3. Step 3: Cross multiply
    134,313x = 294,460 × 294,460
  4. Step 4: Simplify right side
    134,313x = 86,706,691,600
  5. Step 5: Solve for x
    x = 86,706,691,600/134,313
  6. Step 6: Final answer
    x = 645,556.96

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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.