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Finding the Third Proportional to 149,846.63 and 318,762

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Solution

The third proportional to 149,846.63 and 318,762 is: 678,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.63 : 318,762 = 318,762 : x
  2. Step 2: Convert to fraction form
    149,846.63/318,762 = 318,762/x
  3. Step 3: Cross multiply
    149,846.63x = 318,762 × 318,762
  4. Step 4: Simplify right side
    149,846.63x = 101,609,212,644
  5. Step 5: Solve for x
    x = 101,609,212,644/149,846.63
  6. Step 6: Final answer
    x = 678,088.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.