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Finding the Third Proportional to 175,044 and 384,126

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Solution

The third proportional to 175,044 and 384,126 is: 842,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,044 : 384,126 = 384,126 : x
  2. Step 2: Convert to fraction form
    175,044/384,126 = 384,126/x
  3. Step 3: Cross multiply
    175,044x = 384,126 × 384,126
  4. Step 4: Simplify right side
    175,044x = 147,552,783,876
  5. Step 5: Solve for x
    x = 147,552,783,876/175,044
  6. Step 6: Final answer
    x = 842,946.82

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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.