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Finding the Third Proportional to 74,424 and 160,509

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Solution

The third proportional to 74,424 and 160,509 is: 346,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,424 : 160,509 = 160,509 : x
  2. Step 2: Convert to fraction form
    74,424/160,509 = 160,509/x
  3. Step 3: Cross multiply
    74,424x = 160,509 × 160,509
  4. Step 4: Simplify right side
    74,424x = 25,763,139,081
  5. Step 5: Solve for x
    x = 25,763,139,081/74,424
  6. Step 6: Final answer
    x = 346,167.08

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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.