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Finding the Third Proportional to 154,064 and 323,032

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Solution

The third proportional to 154,064 and 323,032 is: 677,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,064 : 323,032 = 323,032 : x
  2. Step 2: Convert to fraction form
    154,064/323,032 = 323,032/x
  3. Step 3: Cross multiply
    154,064x = 323,032 × 323,032
  4. Step 4: Simplify right side
    154,064x = 104,349,673,024
  5. Step 5: Solve for x
    x = 104,349,673,024/154,064
  6. Step 6: Final answer
    x = 677,313.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.