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Finding the Third Proportional to 74,175 and 160,230

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Solution

The third proportional to 74,175 and 160,230 is: 346,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175 : 160,230 = 160,230 : x
  2. Step 2: Convert to fraction form
    74,175/160,230 = 160,230/x
  3. Step 3: Cross multiply
    74,175x = 160,230 × 160,230
  4. Step 4: Simplify right side
    74,175x = 25,673,652,900
  5. Step 5: Solve for x
    x = 25,673,652,900/74,175
  6. Step 6: Final answer
    x = 346,122.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.