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Finding the Third Proportional to 213,391 and 466,154

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Solution

The third proportional to 213,391 and 466,154 is: 1,018,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,391 : 466,154 = 466,154 : x
  2. Step 2: Convert to fraction form
    213,391/466,154 = 466,154/x
  3. Step 3: Cross multiply
    213,391x = 466,154 × 466,154
  4. Step 4: Simplify right side
    213,391x = 217,299,551,716
  5. Step 5: Solve for x
    x = 217,299,551,716/213,391
  6. Step 6: Final answer
    x = 1,018,316.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.