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Finding the Third Proportional to 196,614 and 430,024.25

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Solution

The third proportional to 196,614 and 430,024.25 is: 940,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,614 : 430,024.25 = 430,024.25 : x
  2. Step 2: Convert to fraction form
    196,614/430,024.25 = 430,024.25/x
  3. Step 3: Cross multiply
    196,614x = 430,024.25 × 430,024.25
  4. Step 4: Simplify right side
    196,614x = 184,920,855,588.06
  5. Step 5: Solve for x
    x = 184,920,855,588.06/196,614
  6. Step 6: Final answer
    x = 940,527.41

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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.