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Finding the Third Proportional to 173,878 and 366,436.50

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Solution

The third proportional to 173,878 and 366,436.50 is: 772,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,878 : 366,436.50 = 366,436.50 : x
  2. Step 2: Convert to fraction form
    173,878/366,436.50 = 366,436.50/x
  3. Step 3: Cross multiply
    173,878x = 366,436.50 × 366,436.50
  4. Step 4: Simplify right side
    173,878x = 134,275,708,532.25
  5. Step 5: Solve for x
    x = 134,275,708,532.25/173,878
  6. Step 6: Final answer
    x = 772,240.93

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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.