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Finding the Third Proportional to 197,123.63 and 431,562.94

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Solution

The third proportional to 197,123.63 and 431,562.94 is: 944,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,123.63 : 431,562.94 = 431,562.94 : x
  2. Step 2: Convert to fraction form
    197,123.63/431,562.94 = 431,562.94/x
  3. Step 3: Cross multiply
    197,123.63x = 431,562.94 × 431,562.94
  4. Step 4: Simplify right side
    197,123.63x = 186,246,569,023.63
  5. Step 5: Solve for x
    x = 186,246,569,023.63/197,123.63
  6. Step 6: Final answer
    x = 944,821.14

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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.