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Finding the Third Proportional to 160,653.50 and 348,962.75

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Solution

The third proportional to 160,653.50 and 348,962.75 is: 757,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,653.50 : 348,962.75 = 348,962.75 : x
  2. Step 2: Convert to fraction form
    160,653.50/348,962.75 = 348,962.75/x
  3. Step 3: Cross multiply
    160,653.50x = 348,962.75 × 348,962.75
  4. Step 4: Simplify right side
    160,653.50x = 121,775,000,887.56
  5. Step 5: Solve for x
    x = 121,775,000,887.56/160,653.50
  6. Step 6: Final answer
    x = 757,997.81

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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.