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Finding the Third Proportional to 207,106.50 and 445,905

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Solution

The third proportional to 207,106.50 and 445,905 is: 960,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,106.50 : 445,905 = 445,905 : x
  2. Step 2: Convert to fraction form
    207,106.50/445,905 = 445,905/x
  3. Step 3: Cross multiply
    207,106.50x = 445,905 × 445,905
  4. Step 4: Simplify right side
    207,106.50x = 198,831,269,025
  5. Step 5: Solve for x
    x = 198,831,269,025/207,106.50
  6. Step 6: Final answer
    x = 960,043.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.