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Finding the Third Proportional to 196,800.75 and 313,303.50

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Solution

The third proportional to 196,800.75 and 313,303.50 is: 498,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,800.75 : 313,303.50 = 313,303.50 : x
  2. Step 2: Convert to fraction form
    196,800.75/313,303.50 = 313,303.50/x
  3. Step 3: Cross multiply
    196,800.75x = 313,303.50 × 313,303.50
  4. Step 4: Simplify right side
    196,800.75x = 98,159,083,112.25
  5. Step 5: Solve for x
    x = 98,159,083,112.25/196,800.75
  6. Step 6: Final answer
    x = 498,773.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.