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Finding the Third Proportional to 213,461 and 334,844

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Solution

The third proportional to 213,461 and 334,844 is: 525,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,461 : 334,844 = 334,844 : x
  2. Step 2: Convert to fraction form
    213,461/334,844 = 334,844/x
  3. Step 3: Cross multiply
    213,461x = 334,844 × 334,844
  4. Step 4: Simplify right side
    213,461x = 112,120,504,336
  5. Step 5: Solve for x
    x = 112,120,504,336/213,461
  6. Step 6: Final answer
    x = 525,250.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.