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Finding the Third Proportional to 183,768 and 294,849

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Solution

The third proportional to 183,768 and 294,849 is: 473,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,768 : 294,849 = 294,849 : x
  2. Step 2: Convert to fraction form
    183,768/294,849 = 294,849/x
  3. Step 3: Cross multiply
    183,768x = 294,849 × 294,849
  4. Step 4: Simplify right side
    183,768x = 86,935,932,801
  5. Step 5: Solve for x
    x = 86,935,932,801/183,768
  6. Step 6: Final answer
    x = 473,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.