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Finding the Third Proportional to 208,022.50 and 304,629

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Solution

The third proportional to 208,022.50 and 304,629 is: 446,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022.50 : 304,629 = 304,629 : x
  2. Step 2: Convert to fraction form
    208,022.50/304,629 = 304,629/x
  3. Step 3: Cross multiply
    208,022.50x = 304,629 × 304,629
  4. Step 4: Simplify right side
    208,022.50x = 92,798,827,641
  5. Step 5: Solve for x
    x = 92,798,827,641/208,022.50
  6. Step 6: Final answer
    x = 446,099.95

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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.