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Finding the Third Proportional to 200,964 and 319,896

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Solution

The third proportional to 200,964 and 319,896 is: 509,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964 : 319,896 = 319,896 : x
  2. Step 2: Convert to fraction form
    200,964/319,896 = 319,896/x
  3. Step 3: Cross multiply
    200,964x = 319,896 × 319,896
  4. Step 4: Simplify right side
    200,964x = 102,333,450,816
  5. Step 5: Solve for x
    x = 102,333,450,816/200,964
  6. Step 6: Final answer
    x = 509,212.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.