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Finding the Third Proportional to 220,740.75 and 341,722.13

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Solution

The third proportional to 220,740.75 and 341,722.13 is: 529,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,740.75 : 341,722.13 = 341,722.13 : x
  2. Step 2: Convert to fraction form
    220,740.75/341,722.13 = 341,722.13/x
  3. Step 3: Cross multiply
    220,740.75x = 341,722.13 × 341,722.13
  4. Step 4: Simplify right side
    220,740.75x = 116,774,010,714.52
  5. Step 5: Solve for x
    x = 116,774,010,714.52/220,740.75
  6. Step 6: Final answer
    x = 529,009.76

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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.