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Finding the Third Proportional to 199,755 and 432,774

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Solution

The third proportional to 199,755 and 432,774 is: 937,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,755 : 432,774 = 432,774 : x
  2. Step 2: Convert to fraction form
    199,755/432,774 = 432,774/x
  3. Step 3: Cross multiply
    199,755x = 432,774 × 432,774
  4. Step 4: Simplify right side
    199,755x = 187,293,335,076
  5. Step 5: Solve for x
    x = 187,293,335,076/199,755
  6. Step 6: Final answer
    x = 937,615.25

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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.