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Finding the Third Proportional to 191,232 and 420,208

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Solution

The third proportional to 191,232 and 420,208 is: 923,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 420,208 = 420,208 : x
  2. Step 2: Convert to fraction form
    191,232/420,208 = 420,208/x
  3. Step 3: Cross multiply
    191,232x = 420,208 × 420,208
  4. Step 4: Simplify right side
    191,232x = 176,574,763,264
  5. Step 5: Solve for x
    x = 176,574,763,264/191,232
  6. Step 6: Final answer
    x = 923,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.