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Finding the Third Proportional to 76,594.36 and 163,709.86

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Solution

The third proportional to 76,594.36 and 163,709.86 is: 349,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594.36 : 163,709.86 = 163,709.86 : x
  2. Step 2: Convert to fraction form
    76,594.36/163,709.86 = 163,709.86/x
  3. Step 3: Cross multiply
    76,594.36x = 163,709.86 × 163,709.86
  4. Step 4: Simplify right side
    76,594.36x = 26,800,918,056.58
  5. Step 5: Solve for x
    x = 26,800,918,056.58/76,594.36
  6. Step 6: Final answer
    x = 349,907.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.