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Finding the Third Proportional to 180,253 and 417,274

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Solution

The third proportional to 180,253 and 417,274 is: 965,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,253 : 417,274 = 417,274 : x
  2. Step 2: Convert to fraction form
    180,253/417,274 = 417,274/x
  3. Step 3: Cross multiply
    180,253x = 417,274 × 417,274
  4. Step 4: Simplify right side
    180,253x = 174,117,591,076
  5. Step 5: Solve for x
    x = 174,117,591,076/180,253
  6. Step 6: Final answer
    x = 965,962.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.