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Finding the Third Proportional to 173,889 and 366,458

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Solution

The third proportional to 173,889 and 366,458 is: 772,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,889 : 366,458 = 366,458 : x
  2. Step 2: Convert to fraction form
    173,889/366,458 = 366,458/x
  3. Step 3: Cross multiply
    173,889x = 366,458 × 366,458
  4. Step 4: Simplify right side
    173,889x = 134,291,465,764
  5. Step 5: Solve for x
    x = 134,291,465,764/173,889
  6. Step 6: Final answer
    x = 772,282.70

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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.