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Finding the Third Proportional to 200,803 and 322,852

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Solution

The third proportional to 200,803 and 322,852 is: 519,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,803 : 322,852 = 322,852 : x
  2. Step 2: Convert to fraction form
    200,803/322,852 = 322,852/x
  3. Step 3: Cross multiply
    200,803x = 322,852 × 322,852
  4. Step 4: Simplify right side
    200,803x = 104,233,413,904
  5. Step 5: Solve for x
    x = 104,233,413,904/200,803
  6. Step 6: Final answer
    x = 519,082.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.