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Finding the Third Proportional to 207,823 and 334,685

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Solution

The third proportional to 207,823 and 334,685 is: 538,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,823 : 334,685 = 334,685 : x
  2. Step 2: Convert to fraction form
    207,823/334,685 = 334,685/x
  3. Step 3: Cross multiply
    207,823x = 334,685 × 334,685
  4. Step 4: Simplify right side
    207,823x = 112,014,049,225
  5. Step 5: Solve for x
    x = 112,014,049,225/207,823
  6. Step 6: Final answer
    x = 538,987.74

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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.