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Finding the Third Proportional to 205,299 and 307,119

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Solution

The third proportional to 205,299 and 307,119 is: 459,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,299 : 307,119 = 307,119 : x
  2. Step 2: Convert to fraction form
    205,299/307,119 = 307,119/x
  3. Step 3: Cross multiply
    205,299x = 307,119 × 307,119
  4. Step 4: Simplify right side
    205,299x = 94,322,080,161
  5. Step 5: Solve for x
    x = 94,322,080,161/205,299
  6. Step 6: Final answer
    x = 459,437.60

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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.