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Finding the Third Proportional to 196,346.53 and 315,019.13

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Solution

The third proportional to 196,346.53 and 315,019.13 is: 505,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,346.53 : 315,019.13 = 315,019.13 : x
  2. Step 2: Convert to fraction form
    196,346.53/315,019.13 = 315,019.13/x
  3. Step 3: Cross multiply
    196,346.53x = 315,019.13 × 315,019.13
  4. Step 4: Simplify right side
    196,346.53x = 99,237,049,115.77
  5. Step 5: Solve for x
    x = 99,237,049,115.77/196,346.53
  6. Step 6: Final answer
    x = 505,417.89

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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.