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Finding the Third Proportional to 208,038 and 304,651.50

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Solution

The third proportional to 208,038 and 304,651.50 is: 446,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038 : 304,651.50 = 304,651.50 : x
  2. Step 2: Convert to fraction form
    208,038/304,651.50 = 304,651.50/x
  3. Step 3: Cross multiply
    208,038x = 304,651.50 × 304,651.50
  4. Step 4: Simplify right side
    208,038x = 92,812,536,452.25
  5. Step 5: Solve for x
    x = 92,812,536,452.25/208,038
  6. Step 6: Final answer
    x = 446,132.61

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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.