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Finding the Third Proportional to 205,119 and 310,416.75

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Solution

The third proportional to 205,119 and 310,416.75 is: 469,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,119 : 310,416.75 = 310,416.75 : x
  2. Step 2: Convert to fraction form
    205,119/310,416.75 = 310,416.75/x
  3. Step 3: Cross multiply
    205,119x = 310,416.75 × 310,416.75
  4. Step 4: Simplify right side
    205,119x = 96,358,558,680.56
  5. Step 5: Solve for x
    x = 96,358,558,680.56/205,119
  6. Step 6: Final answer
    x = 469,769.05

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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.