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Finding the Third Proportional to 173,886.75 and 366,452.86

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Solution

The third proportional to 173,886.75 and 366,452.86 is: 772,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886.75 : 366,452.86 = 366,452.86 : x
  2. Step 2: Convert to fraction form
    173,886.75/366,452.86 = 366,452.86/x
  3. Step 3: Cross multiply
    173,886.75x = 366,452.86 × 366,452.86
  4. Step 4: Simplify right side
    173,886.75x = 134,287,698,144.11
  5. Step 5: Solve for x
    x = 134,287,698,144.11/173,886.75
  6. Step 6: Final answer
    x = 772,271.02

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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.