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Finding the Third Proportional to 208,874.25 and 304,509.38

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Solution

The third proportional to 208,874.25 and 304,509.38 is: 443,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.25 : 304,509.38 = 304,509.38 : x
  2. Step 2: Convert to fraction form
    208,874.25/304,509.38 = 304,509.38/x
  3. Step 3: Cross multiply
    208,874.25x = 304,509.38 × 304,509.38
  4. Step 4: Simplify right side
    208,874.25x = 92,725,959,462.89
  5. Step 5: Solve for x
    x = 92,725,959,462.89/208,874.25
  6. Step 6: Final answer
    x = 443,931.98

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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.