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Finding the Third Proportional to 74,470 and 160,602

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Solution

The third proportional to 74,470 and 160,602 is: 346,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,470 : 160,602 = 160,602 : x
  2. Step 2: Convert to fraction form
    74,470/160,602 = 160,602/x
  3. Step 3: Cross multiply
    74,470x = 160,602 × 160,602
  4. Step 4: Simplify right side
    74,470x = 25,793,002,404
  5. Step 5: Solve for x
    x = 25,793,002,404/74,470
  6. Step 6: Final answer
    x = 346,354.27

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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.