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Finding the Third Proportional to 196,339.50 and 315,010.13

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Solution

The third proportional to 196,339.50 and 315,010.13 is: 505,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,339.50 : 315,010.13 = 315,010.13 : x
  2. Step 2: Convert to fraction form
    196,339.50/315,010.13 = 315,010.13/x
  3. Step 3: Cross multiply
    196,339.50x = 315,010.13 × 315,010.13
  4. Step 4: Simplify right side
    196,339.50x = 99,231,378,852.52
  5. Step 5: Solve for x
    x = 99,231,378,852.52/196,339.50
  6. Step 6: Final answer
    x = 505,407.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.