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Finding the Third Proportional to 199,396 and 430,097

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Solution

The third proportional to 199,396 and 430,097 is: 927,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,396 : 430,097 = 430,097 : x
  2. Step 2: Convert to fraction form
    199,396/430,097 = 430,097/x
  3. Step 3: Cross multiply
    199,396x = 430,097 × 430,097
  4. Step 4: Simplify right side
    199,396x = 184,983,429,409
  5. Step 5: Solve for x
    x = 184,983,429,409/199,396
  6. Step 6: Final answer
    x = 927,718.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.