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Finding the Third Proportional to 237,969 and 369,036

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Solution

The third proportional to 237,969 and 369,036 is: 572,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,969 : 369,036 = 369,036 : x
  2. Step 2: Convert to fraction form
    237,969/369,036 = 369,036/x
  3. Step 3: Cross multiply
    237,969x = 369,036 × 369,036
  4. Step 4: Simplify right side
    237,969x = 136,187,569,296
  5. Step 5: Solve for x
    x = 136,187,569,296/237,969
  6. Step 6: Final answer
    x = 572,291.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.