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Finding the Third Proportional to 160,226 and 235,971

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Solution

The third proportional to 160,226 and 235,971 is: 347,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,226 : 235,971 = 235,971 : x
  2. Step 2: Convert to fraction form
    160,226/235,971 = 235,971/x
  3. Step 3: Cross multiply
    160,226x = 235,971 × 235,971
  4. Step 4: Simplify right side
    160,226x = 55,682,312,841
  5. Step 5: Solve for x
    x = 55,682,312,841/160,226
  6. Step 6: Final answer
    x = 347,523.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.