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Finding the Third Proportional to 163,613 and 342,049

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Solution

The third proportional to 163,613 and 342,049 is: 715,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,613 : 342,049 = 342,049 : x
  2. Step 2: Convert to fraction form
    163,613/342,049 = 342,049/x
  3. Step 3: Cross multiply
    163,613x = 342,049 × 342,049
  4. Step 4: Simplify right side
    163,613x = 116,997,518,401
  5. Step 5: Solve for x
    x = 116,997,518,401/163,613
  6. Step 6: Final answer
    x = 715,086.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.