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Finding the Third Proportional to 202,398 and 297,036

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Solution

The third proportional to 202,398 and 297,036 is: 435,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398 : 297,036 = 297,036 : x
  2. Step 2: Convert to fraction form
    202,398/297,036 = 297,036/x
  3. Step 3: Cross multiply
    202,398x = 297,036 × 297,036
  4. Step 4: Simplify right side
    202,398x = 88,230,385,296
  5. Step 5: Solve for x
    x = 88,230,385,296/202,398
  6. Step 6: Final answer
    x = 435,925.18

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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.