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Finding the Third Proportional to 200,296 and 310,032

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Solution

The third proportional to 200,296 and 310,032 is: 479,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,296 : 310,032 = 310,032 : x
  2. Step 2: Convert to fraction form
    200,296/310,032 = 310,032/x
  3. Step 3: Cross multiply
    200,296x = 310,032 × 310,032
  4. Step 4: Simplify right side
    200,296x = 96,119,841,024
  5. Step 5: Solve for x
    x = 96,119,841,024/200,296
  6. Step 6: Final answer
    x = 479,888.97

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Why These Related Problems?

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