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Finding the Third Proportional to 202,868 and 304,340

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Solution

The third proportional to 202,868 and 304,340 is: 456,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,868 : 304,340 = 304,340 : x
  2. Step 2: Convert to fraction form
    202,868/304,340 = 304,340/x
  3. Step 3: Cross multiply
    202,868x = 304,340 × 304,340
  4. Step 4: Simplify right side
    202,868x = 92,622,835,600
  5. Step 5: Solve for x
    x = 92,622,835,600/202,868
  6. Step 6: Final answer
    x = 456,567.01

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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.