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Finding the Third Proportional to 193,187 and 431,572

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Solution

The third proportional to 193,187 and 431,572 is: 964,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187 : 431,572 = 431,572 : x
  2. Step 2: Convert to fraction form
    193,187/431,572 = 431,572/x
  3. Step 3: Cross multiply
    193,187x = 431,572 × 431,572
  4. Step 4: Simplify right side
    193,187x = 186,254,391,184
  5. Step 5: Solve for x
    x = 186,254,391,184/193,187
  6. Step 6: Final answer
    x = 964,114.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.