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Finding the Third Proportional to 160,532 and 351,514

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Solution

The third proportional to 160,532 and 351,514 is: 769,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,532 : 351,514 = 351,514 : x
  2. Step 2: Convert to fraction form
    160,532/351,514 = 351,514/x
  3. Step 3: Cross multiply
    160,532x = 351,514 × 351,514
  4. Step 4: Simplify right side
    160,532x = 123,562,092,196
  5. Step 5: Solve for x
    x = 123,562,092,196/160,532
  6. Step 6: Final answer
    x = 769,703.81

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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.