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Finding the Third Proportional to 199,546 and 291,536

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Solution

The third proportional to 199,546 and 291,536 is: 425,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,546 : 291,536 = 291,536 : x
  2. Step 2: Convert to fraction form
    199,546/291,536 = 291,536/x
  3. Step 3: Cross multiply
    199,546x = 291,536 × 291,536
  4. Step 4: Simplify right side
    199,546x = 84,993,239,296
  5. Step 5: Solve for x
    x = 84,993,239,296/199,546
  6. Step 6: Final answer
    x = 425,933.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.