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Finding the Third Proportional to 107,804.25 and 234,454.50

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Solution

The third proportional to 107,804.25 and 234,454.50 is: 509,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,804.25 : 234,454.50 = 234,454.50 : x
  2. Step 2: Convert to fraction form
    107,804.25/234,454.50 = 234,454.50/x
  3. Step 3: Cross multiply
    107,804.25x = 234,454.50 × 234,454.50
  4. Step 4: Simplify right side
    107,804.25x = 54,968,912,570.25
  5. Step 5: Solve for x
    x = 54,968,912,570.25/107,804.25
  6. Step 6: Final answer
    x = 509,895.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.