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Finding the Third Proportional to 159,056 and 343,032

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Solution

The third proportional to 159,056 and 343,032 is: 739,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,056 : 343,032 = 343,032 : x
  2. Step 2: Convert to fraction form
    159,056/343,032 = 343,032/x
  3. Step 3: Cross multiply
    159,056x = 343,032 × 343,032
  4. Step 4: Simplify right side
    159,056x = 117,670,953,024
  5. Step 5: Solve for x
    x = 117,670,953,024/159,056
  6. Step 6: Final answer
    x = 739,808.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.