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Finding the Third Proportional to 221,342.63 and 336,205.69

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Solution

The third proportional to 221,342.63 and 336,205.69 is: 510,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,342.63 : 336,205.69 = 336,205.69 : x
  2. Step 2: Convert to fraction form
    221,342.63/336,205.69 = 336,205.69/x
  3. Step 3: Cross multiply
    221,342.63x = 336,205.69 × 336,205.69
  4. Step 4: Simplify right side
    221,342.63x = 113,034,264,307.35
  5. Step 5: Solve for x
    x = 113,034,264,307.35/221,342.63
  6. Step 6: Final answer
    x = 510,675.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.