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Finding the Third Proportional to 197,073 and 432,270

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Solution

The third proportional to 197,073 and 432,270 is: 948,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073 : 432,270 = 432,270 : x
  2. Step 2: Convert to fraction form
    197,073/432,270 = 432,270/x
  3. Step 3: Cross multiply
    197,073x = 432,270 × 432,270
  4. Step 4: Simplify right side
    197,073x = 186,857,352,900
  5. Step 5: Solve for x
    x = 186,857,352,900/197,073
  6. Step 6: Final answer
    x = 948,163.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.