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Finding the Third Proportional to 173,068 and 253,032

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Solution

The third proportional to 173,068 and 253,032 is: 369,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,068 : 253,032 = 253,032 : x
  2. Step 2: Convert to fraction form
    173,068/253,032 = 253,032/x
  3. Step 3: Cross multiply
    173,068x = 253,032 × 253,032
  4. Step 4: Simplify right side
    173,068x = 64,025,193,024
  5. Step 5: Solve for x
    x = 64,025,193,024/173,068
  6. Step 6: Final answer
    x = 369,942.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.