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Finding the Third Proportional to 202,232 and 440,032

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Solution

The third proportional to 202,232 and 440,032 is: 957,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232 : 440,032 = 440,032 : x
  2. Step 2: Convert to fraction form
    202,232/440,032 = 440,032/x
  3. Step 3: Cross multiply
    202,232x = 440,032 × 440,032
  4. Step 4: Simplify right side
    202,232x = 193,628,161,024
  5. Step 5: Solve for x
    x = 193,628,161,024/202,232
  6. Step 6: Final answer
    x = 957,455.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.