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Finding the Third Proportional to 173,913 and 366,507

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Solution

The third proportional to 173,913 and 366,507 is: 772,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,913 : 366,507 = 366,507 : x
  2. Step 2: Convert to fraction form
    173,913/366,507 = 366,507/x
  3. Step 3: Cross multiply
    173,913x = 366,507 × 366,507
  4. Step 4: Simplify right side
    173,913x = 134,327,381,049
  5. Step 5: Solve for x
    x = 134,327,381,049/173,913
  6. Step 6: Final answer
    x = 772,382.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.