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Finding the Third Proportional to 202,005 and 299,098.50

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Solution

The third proportional to 202,005 and 299,098.50 is: 442,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005 : 299,098.50 = 299,098.50 : x
  2. Step 2: Convert to fraction form
    202,005/299,098.50 = 299,098.50/x
  3. Step 3: Cross multiply
    202,005x = 299,098.50 × 299,098.50
  4. Step 4: Simplify right side
    202,005x = 89,459,912,702.25
  5. Step 5: Solve for x
    x = 89,459,912,702.25/202,005
  6. Step 6: Final answer
    x = 442,859.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.