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Finding the Third Proportional to 242,274.38 and 361,044

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Solution

The third proportional to 242,274.38 and 361,044 is: 538,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,274.38 : 361,044 = 361,044 : x
  2. Step 2: Convert to fraction form
    242,274.38/361,044 = 361,044/x
  3. Step 3: Cross multiply
    242,274.38x = 361,044 × 361,044
  4. Step 4: Simplify right side
    242,274.38x = 130,352,769,936
  5. Step 5: Solve for x
    x = 130,352,769,936/242,274.38
  6. Step 6: Final answer
    x = 538,037.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.