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Finding the Third Proportional to 160,495.59 and 338,897.25

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Solution

The third proportional to 160,495.59 and 338,897.25 is: 715,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,495.59 : 338,897.25 = 338,897.25 : x
  2. Step 2: Convert to fraction form
    160,495.59/338,897.25 = 338,897.25/x
  3. Step 3: Cross multiply
    160,495.59x = 338,897.25 × 338,897.25
  4. Step 4: Simplify right side
    160,495.59x = 114,851,346,057.56
  5. Step 5: Solve for x
    x = 114,851,346,057.56/160,495.59
  6. Step 6: Final answer
    x = 715,604.36

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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.