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Finding the Third Proportional to 74,460 and 160,583

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Solution

The third proportional to 74,460 and 160,583 is: 346,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 160,583 = 160,583 : x
  2. Step 2: Convert to fraction form
    74,460/160,583 = 160,583/x
  3. Step 3: Cross multiply
    74,460x = 160,583 × 160,583
  4. Step 4: Simplify right side
    74,460x = 25,786,899,889
  5. Step 5: Solve for x
    x = 25,786,899,889/74,460
  6. Step 6: Final answer
    x = 346,318.83

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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.