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Finding the Third Proportional to 161,254 and 254,250

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Solution

The third proportional to 161,254 and 254,250 is: 400,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,254 : 254,250 = 254,250 : x
  2. Step 2: Convert to fraction form
    161,254/254,250 = 254,250/x
  3. Step 3: Cross multiply
    161,254x = 254,250 × 254,250
  4. Step 4: Simplify right side
    161,254x = 64,643,062,500
  5. Step 5: Solve for x
    x = 64,643,062,500/161,254
  6. Step 6: Final answer
    x = 400,877.27

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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.