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Finding the Third Proportional to 207,873 and 334,773

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Solution

The third proportional to 207,873 and 334,773 is: 539,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,873 : 334,773 = 334,773 : x
  2. Step 2: Convert to fraction form
    207,873/334,773 = 334,773/x
  3. Step 3: Cross multiply
    207,873x = 334,773 × 334,773
  4. Step 4: Simplify right side
    207,873x = 112,072,961,529
  5. Step 5: Solve for x
    x = 112,072,961,529/207,873
  6. Step 6: Final answer
    x = 539,141.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.