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Finding the Third Proportional to 130,519 and 207,682.75

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Solution

The third proportional to 130,519 and 207,682.75 is: 330,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,519 : 207,682.75 = 207,682.75 : x
  2. Step 2: Convert to fraction form
    130,519/207,682.75 = 207,682.75/x
  3. Step 3: Cross multiply
    130,519x = 207,682.75 × 207,682.75
  4. Step 4: Simplify right side
    130,519x = 43,132,124,647.56
  5. Step 5: Solve for x
    x = 43,132,124,647.56/130,519
  6. Step 6: Final answer
    x = 330,466.25

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