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Finding the Third Proportional to 173,815 and 376,060

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Solution

The third proportional to 173,815 and 376,060 is: 813,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,815 : 376,060 = 376,060 : x
  2. Step 2: Convert to fraction form
    173,815/376,060 = 376,060/x
  3. Step 3: Cross multiply
    173,815x = 376,060 × 376,060
  4. Step 4: Simplify right side
    173,815x = 141,421,123,600
  5. Step 5: Solve for x
    x = 141,421,123,600/173,815
  6. Step 6: Final answer
    x = 813,630.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.