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Finding the Third Proportional to 173,874.84 and 366,430.31

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Solution

The third proportional to 173,874.84 and 366,430.31 is: 772,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,874.84 : 366,430.31 = 366,430.31 : x
  2. Step 2: Convert to fraction form
    173,874.84/366,430.31 = 366,430.31/x
  3. Step 3: Cross multiply
    173,874.84x = 366,430.31 × 366,430.31
  4. Step 4: Simplify right side
    173,874.84x = 134,271,173,918.85
  5. Step 5: Solve for x
    x = 134,271,173,918.85/173,874.84
  6. Step 6: Final answer
    x = 772,228.87

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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.