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Finding the Third Proportional to 180,646 and 254,164.50

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Solution

The third proportional to 180,646 and 254,164.50 is: 357,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,646 : 254,164.50 = 254,164.50 : x
  2. Step 2: Convert to fraction form
    180,646/254,164.50 = 254,164.50/x
  3. Step 3: Cross multiply
    180,646x = 254,164.50 × 254,164.50
  4. Step 4: Simplify right side
    180,646x = 64,599,593,060.25
  5. Step 5: Solve for x
    x = 64,599,593,060.25/180,646
  6. Step 6: Final answer
    x = 357,603.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.