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Finding the Third Proportional to 207,146 and 448,852

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Solution

The third proportional to 207,146 and 448,852 is: 972,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,146 : 448,852 = 448,852 : x
  2. Step 2: Convert to fraction form
    207,146/448,852 = 448,852/x
  3. Step 3: Cross multiply
    207,146x = 448,852 × 448,852
  4. Step 4: Simplify right side
    207,146x = 201,468,117,904
  5. Step 5: Solve for x
    x = 201,468,117,904/207,146
  6. Step 6: Final answer
    x = 972,589.95

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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.