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Finding the Third Proportional to 199,314 and 291,297

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Solution

The third proportional to 199,314 and 291,297 is: 425,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,314 : 291,297 = 291,297 : x
  2. Step 2: Convert to fraction form
    199,314/291,297 = 291,297/x
  3. Step 3: Cross multiply
    199,314x = 291,297 × 291,297
  4. Step 4: Simplify right side
    199,314x = 84,853,942,209
  5. Step 5: Solve for x
    x = 84,853,942,209/199,314
  6. Step 6: Final answer
    x = 425,729.96

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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.