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Finding the Third Proportional to 74,226 and 155,743.50

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Solution

The third proportional to 74,226 and 155,743.50 is: 326,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226 : 155,743.50 = 155,743.50 : x
  2. Step 2: Convert to fraction form
    74,226/155,743.50 = 155,743.50/x
  3. Step 3: Cross multiply
    74,226x = 155,743.50 × 155,743.50
  4. Step 4: Simplify right side
    74,226x = 24,256,037,792.25
  5. Step 5: Solve for x
    x = 24,256,037,792.25/74,226
  6. Step 6: Final answer
    x = 326,786.27

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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.