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Finding the Third Proportional to 219,188.53 and 455,597.16

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Solution

The third proportional to 219,188.53 and 455,597.16 is: 946,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,188.53 : 455,597.16 = 455,597.16 : x
  2. Step 2: Convert to fraction form
    219,188.53/455,597.16 = 455,597.16/x
  3. Step 3: Cross multiply
    219,188.53x = 455,597.16 × 455,597.16
  4. Step 4: Simplify right side
    219,188.53x = 207,568,768,783.09
  5. Step 5: Solve for x
    x = 207,568,768,783.09/219,188.53
  6. Step 6: Final answer
    x = 946,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.