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Finding the Third Proportional to 174,318 and 245,466

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Solution

The third proportional to 174,318 and 245,466 is: 345,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,318 : 245,466 = 245,466 : x
  2. Step 2: Convert to fraction form
    174,318/245,466 = 245,466/x
  3. Step 3: Cross multiply
    174,318x = 245,466 × 245,466
  4. Step 4: Simplify right side
    174,318x = 60,253,557,156
  5. Step 5: Solve for x
    x = 60,253,557,156/174,318
  6. Step 6: Final answer
    x = 345,653.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.