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Finding the Third Proportional to 174,548 and 376,946

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Solution

The third proportional to 174,548 and 376,946 is: 814,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,548 : 376,946 = 376,946 : x
  2. Step 2: Convert to fraction form
    174,548/376,946 = 376,946/x
  3. Step 3: Cross multiply
    174,548x = 376,946 × 376,946
  4. Step 4: Simplify right side
    174,548x = 142,088,286,916
  5. Step 5: Solve for x
    x = 142,088,286,916/174,548
  6. Step 6: Final answer
    x = 814,035.61

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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.