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Finding the Third Proportional to 202,314 and 304,119

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Solution

The third proportional to 202,314 and 304,119 is: 457,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314 : 304,119 = 304,119 : x
  2. Step 2: Convert to fraction form
    202,314/304,119 = 304,119/x
  3. Step 3: Cross multiply
    202,314x = 304,119 × 304,119
  4. Step 4: Simplify right side
    202,314x = 92,488,366,161
  5. Step 5: Solve for x
    x = 92,488,366,161/202,314
  6. Step 6: Final answer
    x = 457,152.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.