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Finding the Third Proportional to 159,583.50 and 326,457

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Solution

The third proportional to 159,583.50 and 326,457 is: 667,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,583.50 : 326,457 = 326,457 : x
  2. Step 2: Convert to fraction form
    159,583.50/326,457 = 326,457/x
  3. Step 3: Cross multiply
    159,583.50x = 326,457 × 326,457
  4. Step 4: Simplify right side
    159,583.50x = 106,574,172,849
  5. Step 5: Solve for x
    x = 106,574,172,849/159,583.50
  6. Step 6: Final answer
    x = 667,827.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.