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Finding the Third Proportional to 202,020 and 299,124

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Solution

The third proportional to 202,020 and 299,124 is: 442,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,020 : 299,124 = 299,124 : x
  2. Step 2: Convert to fraction form
    202,020/299,124 = 299,124/x
  3. Step 3: Cross multiply
    202,020x = 299,124 × 299,124
  4. Step 4: Simplify right side
    202,020x = 89,475,167,376
  5. Step 5: Solve for x
    x = 89,475,167,376/202,020
  6. Step 6: Final answer
    x = 442,902.52

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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.