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Finding the Third Proportional to 175,446 and 370,818

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Solution

The third proportional to 175,446 and 370,818 is: 783,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,446 : 370,818 = 370,818 : x
  2. Step 2: Convert to fraction form
    175,446/370,818 = 370,818/x
  3. Step 3: Cross multiply
    175,446x = 370,818 × 370,818
  4. Step 4: Simplify right side
    175,446x = 137,505,989,124
  5. Step 5: Solve for x
    x = 137,505,989,124/175,446
  6. Step 6: Final answer
    x = 783,751.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.