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Finding the Third Proportional to 208,987.50 and 312,994.50

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Solution

The third proportional to 208,987.50 and 312,994.50 is: 468,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.50 : 312,994.50 = 312,994.50 : x
  2. Step 2: Convert to fraction form
    208,987.50/312,994.50 = 312,994.50/x
  3. Step 3: Cross multiply
    208,987.50x = 312,994.50 × 312,994.50
  4. Step 4: Simplify right side
    208,987.50x = 97,965,557,030.25
  5. Step 5: Solve for x
    x = 97,965,557,030.25/208,987.50
  6. Step 6: Final answer
    x = 468,762.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.