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Finding the Third Proportional to 74,339 and 160,341

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Solution

The third proportional to 74,339 and 160,341 is: 345,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,339 : 160,341 = 160,341 : x
  2. Step 2: Convert to fraction form
    74,339/160,341 = 160,341/x
  3. Step 3: Cross multiply
    74,339x = 160,341 × 160,341
  4. Step 4: Simplify right side
    74,339x = 25,709,236,281
  5. Step 5: Solve for x
    x = 25,709,236,281/74,339
  6. Step 6: Final answer
    x = 345,837.80

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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.