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Finding the Third Proportional to 194,138 and 415,265

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Solution

The third proportional to 194,138 and 415,265 is: 888,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,138 : 415,265 = 415,265 : x
  2. Step 2: Convert to fraction form
    194,138/415,265 = 415,265/x
  3. Step 3: Cross multiply
    194,138x = 415,265 × 415,265
  4. Step 4: Simplify right side
    194,138x = 172,445,020,225
  5. Step 5: Solve for x
    x = 172,445,020,225/194,138
  6. Step 6: Final answer
    x = 888,260.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.