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Finding the Third Proportional to 131,044 and 196,360

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Solution

The third proportional to 131,044 and 196,360 is: 294,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,044 : 196,360 = 196,360 : x
  2. Step 2: Convert to fraction form
    131,044/196,360 = 196,360/x
  3. Step 3: Cross multiply
    131,044x = 196,360 × 196,360
  4. Step 4: Simplify right side
    131,044x = 38,557,249,600
  5. Step 5: Solve for x
    x = 38,557,249,600/131,044
  6. Step 6: Final answer
    x = 294,231.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.