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Finding the Third Proportional to 161,824.50 and 251,253

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Solution

The third proportional to 161,824.50 and 251,253 is: 390,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824.50 : 251,253 = 251,253 : x
  2. Step 2: Convert to fraction form
    161,824.50/251,253 = 251,253/x
  3. Step 3: Cross multiply
    161,824.50x = 251,253 × 251,253
  4. Step 4: Simplify right side
    161,824.50x = 63,128,070,009
  5. Step 5: Solve for x
    x = 63,128,070,009/161,824.50
  6. Step 6: Final answer
    x = 390,102.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.