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Finding the Third Proportional to 213,047 and 466,186

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Solution

The third proportional to 213,047 and 466,186 is: 1,020,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,047 : 466,186 = 466,186 : x
  2. Step 2: Convert to fraction form
    213,047/466,186 = 466,186/x
  3. Step 3: Cross multiply
    213,047x = 466,186 × 466,186
  4. Step 4: Simplify right side
    213,047x = 217,329,386,596
  5. Step 5: Solve for x
    x = 217,329,386,596/213,047
  6. Step 6: Final answer
    x = 1,020,100.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.