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Finding the Third Proportional to 205,670 and 310,692

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Solution

The third proportional to 205,670 and 310,692 is: 469,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,670 : 310,692 = 310,692 : x
  2. Step 2: Convert to fraction form
    205,670/310,692 = 310,692/x
  3. Step 3: Cross multiply
    205,670x = 310,692 × 310,692
  4. Step 4: Simplify right side
    205,670x = 96,529,518,864
  5. Step 5: Solve for x
    x = 96,529,518,864/205,670
  6. Step 6: Final answer
    x = 469,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.