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Finding the Third Proportional to 197,187 and 430,410

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Solution

The third proportional to 197,187 and 430,410 is: 939,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,187 : 430,410 = 430,410 : x
  2. Step 2: Convert to fraction form
    197,187/430,410 = 430,410/x
  3. Step 3: Cross multiply
    197,187x = 430,410 × 430,410
  4. Step 4: Simplify right side
    197,187x = 185,252,768,100
  5. Step 5: Solve for x
    x = 185,252,768,100/197,187
  6. Step 6: Final answer
    x = 939,477.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.