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Finding the Third Proportional to 173,876 and 369,076

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Solution

The third proportional to 173,876 and 369,076 is: 783,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,876 : 369,076 = 369,076 : x
  2. Step 2: Convert to fraction form
    173,876/369,076 = 369,076/x
  3. Step 3: Cross multiply
    173,876x = 369,076 × 369,076
  4. Step 4: Simplify right side
    173,876x = 136,217,093,776
  5. Step 5: Solve for x
    x = 136,217,093,776/173,876
  6. Step 6: Final answer
    x = 783,415.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.