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Finding the Third Proportional to 153,194 and 220,646

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Solution

The third proportional to 153,194 and 220,646 is: 317,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194 : 220,646 = 220,646 : x
  2. Step 2: Convert to fraction form
    153,194/220,646 = 220,646/x
  3. Step 3: Cross multiply
    153,194x = 220,646 × 220,646
  4. Step 4: Simplify right side
    153,194x = 48,684,657,316
  5. Step 5: Solve for x
    x = 48,684,657,316/153,194
  6. Step 6: Final answer
    x = 317,797.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.