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Finding the Third Proportional to 131,184 and 202,590

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Solution

The third proportional to 131,184 and 202,590 is: 312,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 202,590 = 202,590 : x
  2. Step 2: Convert to fraction form
    131,184/202,590 = 202,590/x
  3. Step 3: Cross multiply
    131,184x = 202,590 × 202,590
  4. Step 4: Simplify right side
    131,184x = 41,042,708,100
  5. Step 5: Solve for x
    x = 41,042,708,100/131,184
  6. Step 6: Final answer
    x = 312,863.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.