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Finding the Third Proportional to 207,228.38 and 304,043.63

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Solution

The third proportional to 207,228.38 and 304,043.63 is: 446,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,228.38 : 304,043.63 = 304,043.63 : x
  2. Step 2: Convert to fraction form
    207,228.38/304,043.63 = 304,043.63/x
  3. Step 3: Cross multiply
    207,228.38x = 304,043.63 × 304,043.63
  4. Step 4: Simplify right side
    207,228.38x = 92,442,525,903.14
  5. Step 5: Solve for x
    x = 92,442,525,903.14/207,228.38
  6. Step 6: Final answer
    x = 446,090.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.