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Finding the Third Proportional to 141,391.50 and 304,917

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Solution

The third proportional to 141,391.50 and 304,917 is: 657,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,391.50 : 304,917 = 304,917 : x
  2. Step 2: Convert to fraction form
    141,391.50/304,917 = 304,917/x
  3. Step 3: Cross multiply
    141,391.50x = 304,917 × 304,917
  4. Step 4: Simplify right side
    141,391.50x = 92,974,376,889
  5. Step 5: Solve for x
    x = 92,974,376,889/141,391.50
  6. Step 6: Final answer
    x = 657,566.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.