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Finding the Third Proportional to 211,466 and 311,358

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Solution

The third proportional to 211,466 and 311,358 is: 458,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466 : 311,358 = 311,358 : x
  2. Step 2: Convert to fraction form
    211,466/311,358 = 311,358/x
  3. Step 3: Cross multiply
    211,466x = 311,358 × 311,358
  4. Step 4: Simplify right side
    211,466x = 96,943,804,164
  5. Step 5: Solve for x
    x = 96,943,804,164/211,466
  6. Step 6: Final answer
    x = 458,436.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.