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Finding the Third Proportional to 202,406 and 297,047

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Solution

The third proportional to 202,406 and 297,047 is: 435,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406 : 297,047 = 297,047 : x
  2. Step 2: Convert to fraction form
    202,406/297,047 = 297,047/x
  3. Step 3: Cross multiply
    202,406x = 297,047 × 297,047
  4. Step 4: Simplify right side
    202,406x = 88,236,920,209
  5. Step 5: Solve for x
    x = 88,236,920,209/202,406
  6. Step 6: Final answer
    x = 435,940.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.