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Finding the Third Proportional to 160,556 and 351,560

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Solution

The third proportional to 160,556 and 351,560 is: 769,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,556 : 351,560 = 351,560 : x
  2. Step 2: Convert to fraction form
    160,556/351,560 = 351,560/x
  3. Step 3: Cross multiply
    160,556x = 351,560 × 351,560
  4. Step 4: Simplify right side
    160,556x = 123,594,433,600
  5. Step 5: Solve for x
    x = 123,594,433,600/160,556
  6. Step 6: Final answer
    x = 769,790.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.