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Finding the Third Proportional to 161,267 and 254,268.50

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Solution

The third proportional to 161,267 and 254,268.50 is: 400,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,267 : 254,268.50 = 254,268.50 : x
  2. Step 2: Convert to fraction form
    161,267/254,268.50 = 254,268.50/x
  3. Step 3: Cross multiply
    161,267x = 254,268.50 × 254,268.50
  4. Step 4: Simplify right side
    161,267x = 64,652,470,092.25
  5. Step 5: Solve for x
    x = 64,652,470,092.25/161,267
  6. Step 6: Final answer
    x = 400,903.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.