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Finding the Third Proportional to 207,841.50 and 312,685.50

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Solution

The third proportional to 207,841.50 and 312,685.50 is: 470,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841.50 : 312,685.50 = 312,685.50 : x
  2. Step 2: Convert to fraction form
    207,841.50/312,685.50 = 312,685.50/x
  3. Step 3: Cross multiply
    207,841.50x = 312,685.50 × 312,685.50
  4. Step 4: Simplify right side
    207,841.50x = 97,772,221,910.25
  5. Step 5: Solve for x
    x = 97,772,221,910.25/207,841.50
  6. Step 6: Final answer
    x = 470,417.23

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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.