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Finding the Third Proportional to 199,271 and 296,083

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Solution

The third proportional to 199,271 and 296,083 is: 439,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,271 : 296,083 = 296,083 : x
  2. Step 2: Convert to fraction form
    199,271/296,083 = 296,083/x
  3. Step 3: Cross multiply
    199,271x = 296,083 × 296,083
  4. Step 4: Simplify right side
    199,271x = 87,665,142,889
  5. Step 5: Solve for x
    x = 87,665,142,889/199,271
  6. Step 6: Final answer
    x = 439,929.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.