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Finding the Third Proportional to 194,386.13 and 317,413.69

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Solution

The third proportional to 194,386.13 and 317,413.69 is: 518,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,386.13 : 317,413.69 = 317,413.69 : x
  2. Step 2: Convert to fraction form
    194,386.13/317,413.69 = 317,413.69/x
  3. Step 3: Cross multiply
    194,386.13x = 317,413.69 × 317,413.69
  4. Step 4: Simplify right side
    194,386.13x = 100,751,449,012.35
  5. Step 5: Solve for x
    x = 100,751,449,012.35/194,386.13
  6. Step 6: Final answer
    x = 518,305.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.