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Finding the Third Proportional to 199,412 and 430,132

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Solution

The third proportional to 199,412 and 430,132 is: 927,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412 : 430,132 = 430,132 : x
  2. Step 2: Convert to fraction form
    199,412/430,132 = 430,132/x
  3. Step 3: Cross multiply
    199,412x = 430,132 × 430,132
  4. Step 4: Simplify right side
    199,412x = 185,013,537,424
  5. Step 5: Solve for x
    x = 185,013,537,424/199,412
  6. Step 6: Final answer
    x = 927,795.41

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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.