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Finding the Third Proportional to 205,167.94 and 306,931.78

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Solution

The third proportional to 205,167.94 and 306,931.78 is: 459,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,167.94 : 306,931.78 = 306,931.78 : x
  2. Step 2: Convert to fraction form
    205,167.94/306,931.78 = 306,931.78/x
  3. Step 3: Cross multiply
    205,167.94x = 306,931.78 × 306,931.78
  4. Step 4: Simplify right side
    205,167.94x = 94,207,118,341.30
  5. Step 5: Solve for x
    x = 94,207,118,341.30/205,167.94
  6. Step 6: Final answer
    x = 459,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.