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Finding the Third Proportional to 213,476 and 334,863

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Solution

The third proportional to 213,476 and 334,863 is: 525,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,476 : 334,863 = 334,863 : x
  2. Step 2: Convert to fraction form
    213,476/334,863 = 334,863/x
  3. Step 3: Cross multiply
    213,476x = 334,863 × 334,863
  4. Step 4: Simplify right side
    213,476x = 112,133,228,769
  5. Step 5: Solve for x
    x = 112,133,228,769/213,476
  6. Step 6: Final answer
    x = 525,273.23

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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.