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Finding the Third Proportional to 74,226 and 155,746

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Solution

The third proportional to 74,226 and 155,746 is: 326,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226 : 155,746 = 155,746 : x
  2. Step 2: Convert to fraction form
    74,226/155,746 = 155,746/x
  3. Step 3: Cross multiply
    74,226x = 155,746 × 155,746
  4. Step 4: Simplify right side
    74,226x = 24,256,816,516
  5. Step 5: Solve for x
    x = 24,256,816,516/74,226
  6. Step 6: Final answer
    x = 326,796.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.