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Finding the Third Proportional to 199,848 and 432,896

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Solution

The third proportional to 199,848 and 432,896 is: 937,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848 : 432,896 = 432,896 : x
  2. Step 2: Convert to fraction form
    199,848/432,896 = 432,896/x
  3. Step 3: Cross multiply
    199,848x = 432,896 × 432,896
  4. Step 4: Simplify right side
    199,848x = 187,398,946,816
  5. Step 5: Solve for x
    x = 187,398,946,816/199,848
  6. Step 6: Final answer
    x = 937,707.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.