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Finding the Third Proportional to 199,291.50 and 296,098.50

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Solution

The third proportional to 199,291.50 and 296,098.50 is: 439,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291.50 : 296,098.50 = 296,098.50 : x
  2. Step 2: Convert to fraction form
    199,291.50/296,098.50 = 296,098.50/x
  3. Step 3: Cross multiply
    199,291.50x = 296,098.50 × 296,098.50
  4. Step 4: Simplify right side
    199,291.50x = 87,674,321,702.25
  5. Step 5: Solve for x
    x = 87,674,321,702.25/199,291.50
  6. Step 6: Final answer
    x = 439,930.06

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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.