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Finding the Third Proportional to 160,962.75 and 349,704

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Solution

The third proportional to 160,962.75 and 349,704 is: 759,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,962.75 : 349,704 = 349,704 : x
  2. Step 2: Convert to fraction form
    160,962.75/349,704 = 349,704/x
  3. Step 3: Cross multiply
    160,962.75x = 349,704 × 349,704
  4. Step 4: Simplify right side
    160,962.75x = 122,292,887,616
  5. Step 5: Solve for x
    x = 122,292,887,616/160,962.75
  6. Step 6: Final answer
    x = 759,758.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.