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Finding the Third Proportional to 159,439 and 335,402

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Solution

The third proportional to 159,439 and 335,402 is: 705,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,439 : 335,402 = 335,402 : x
  2. Step 2: Convert to fraction form
    159,439/335,402 = 335,402/x
  3. Step 3: Cross multiply
    159,439x = 335,402 × 335,402
  4. Step 4: Simplify right side
    159,439x = 112,494,501,604
  5. Step 5: Solve for x
    x = 112,494,501,604/159,439
  6. Step 6: Final answer
    x = 705,564.52

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