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Finding the Third Proportional to 130,519 and 207,683

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Solution

The third proportional to 130,519 and 207,683 is: 330,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,519 : 207,683 = 207,683 : x
  2. Step 2: Convert to fraction form
    130,519/207,683 = 207,683/x
  3. Step 3: Cross multiply
    130,519x = 207,683 × 207,683
  4. Step 4: Simplify right side
    130,519x = 43,132,228,489
  5. Step 5: Solve for x
    x = 43,132,228,489/130,519
  6. Step 6: Final answer
    x = 330,467.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.