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Finding the Third Proportional to 160,777.13 and 339,598.13

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Solution

The third proportional to 160,777.13 and 339,598.13 is: 717,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,777.13 : 339,598.13 = 339,598.13 : x
  2. Step 2: Convert to fraction form
    160,777.13/339,598.13 = 339,598.13/x
  3. Step 3: Cross multiply
    160,777.13x = 339,598.13 × 339,598.13
  4. Step 4: Simplify right side
    160,777.13x = 115,326,886,503.52
  5. Step 5: Solve for x
    x = 115,326,886,503.52/160,777.13
  6. Step 6: Final answer
    x = 717,309.05

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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.