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Finding the Third Proportional to 223,094.25 and 434,980.13

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Solution

The third proportional to 223,094.25 and 434,980.13 is: 848,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,094.25 : 434,980.13 = 434,980.13 : x
  2. Step 2: Convert to fraction form
    223,094.25/434,980.13 = 434,980.13/x
  3. Step 3: Cross multiply
    223,094.25x = 434,980.13 × 434,980.13
  4. Step 4: Simplify right side
    223,094.25x = 189,207,709,145.02
  5. Step 5: Solve for x
    x = 189,207,709,145.02/223,094.25
  6. Step 6: Final answer
    x = 848,106.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.