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Finding the Third Proportional to 202,333 and 304,022

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Solution

The third proportional to 202,333 and 304,022 is: 456,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333 : 304,022 = 304,022 : x
  2. Step 2: Convert to fraction form
    202,333/304,022 = 304,022/x
  3. Step 3: Cross multiply
    202,333x = 304,022 × 304,022
  4. Step 4: Simplify right side
    202,333x = 92,429,376,484
  5. Step 5: Solve for x
    x = 92,429,376,484/202,333
  6. Step 6: Final answer
    x = 456,818.10

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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.