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Finding the Third Proportional to 213,467 and 334,854

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Solution

The third proportional to 213,467 and 334,854 is: 525,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,467 : 334,854 = 334,854 : x
  2. Step 2: Convert to fraction form
    213,467/334,854 = 334,854/x
  3. Step 3: Cross multiply
    213,467x = 334,854 × 334,854
  4. Step 4: Simplify right side
    213,467x = 112,127,201,316
  5. Step 5: Solve for x
    x = 112,127,201,316/213,467
  6. Step 6: Final answer
    x = 525,267.14

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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.