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Finding the Third Proportional to 209,160.75 and 314,218.13

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Solution

The third proportional to 209,160.75 and 314,218.13 is: 472,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160.75 : 314,218.13 = 314,218.13 : x
  2. Step 2: Convert to fraction form
    209,160.75/314,218.13 = 314,218.13/x
  3. Step 3: Cross multiply
    209,160.75x = 314,218.13 × 314,218.13
  4. Step 4: Simplify right side
    209,160.75x = 98,733,030,078.52
  5. Step 5: Solve for x
    x = 98,733,030,078.52/209,160.75
  6. Step 6: Final answer
    x = 472,043.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.