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Finding the Third Proportional to 159,946 and 339,572

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Solution

The third proportional to 159,946 and 339,572 is: 720,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,946 : 339,572 = 339,572 : x
  2. Step 2: Convert to fraction form
    159,946/339,572 = 339,572/x
  3. Step 3: Cross multiply
    159,946x = 339,572 × 339,572
  4. Step 4: Simplify right side
    159,946x = 115,309,143,184
  5. Step 5: Solve for x
    x = 115,309,143,184/159,946
  6. Step 6: Final answer
    x = 720,925.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.