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Finding the Third Proportional to 299,158.31 and 448,957.69

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Solution

The third proportional to 299,158.31 and 448,957.69 is: 673,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,158.31 : 448,957.69 = 448,957.69 : x
  2. Step 2: Convert to fraction form
    299,158.31/448,957.69 = 448,957.69/x
  3. Step 3: Cross multiply
    299,158.31x = 448,957.69 × 448,957.69
  4. Step 4: Simplify right side
    299,158.31x = 201,563,005,165.35
  5. Step 5: Solve for x
    x = 201,563,005,165.35/299,158.31
  6. Step 6: Final answer
    x = 673,767.02

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Why These Related Problems?

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