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Finding the Third Proportional to 129,305 and 199,709

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Solution

The third proportional to 129,305 and 199,709 is: 308,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,305 : 199,709 = 199,709 : x
  2. Step 2: Convert to fraction form
    129,305/199,709 = 199,709/x
  3. Step 3: Cross multiply
    129,305x = 199,709 × 199,709
  4. Step 4: Simplify right side
    129,305x = 39,883,684,681
  5. Step 5: Solve for x
    x = 39,883,684,681/129,305
  6. Step 6: Final answer
    x = 308,446.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.