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Finding the Third Proportional to 160,569 and 339,228

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Solution

The third proportional to 160,569 and 339,228 is: 716,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,569 : 339,228 = 339,228 : x
  2. Step 2: Convert to fraction form
    160,569/339,228 = 339,228/x
  3. Step 3: Cross multiply
    160,569x = 339,228 × 339,228
  4. Step 4: Simplify right side
    160,569x = 115,075,635,984
  5. Step 5: Solve for x
    x = 115,075,635,984/160,569
  6. Step 6: Final answer
    x = 716,674.05

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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.