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Finding the Third Proportional to 223,376 and 340,329

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Solution

The third proportional to 223,376 and 340,329 is: 518,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,376 : 340,329 = 340,329 : x
  2. Step 2: Convert to fraction form
    223,376/340,329 = 340,329/x
  3. Step 3: Cross multiply
    223,376x = 340,329 × 340,329
  4. Step 4: Simplify right side
    223,376x = 115,823,828,241
  5. Step 5: Solve for x
    x = 115,823,828,241/223,376
  6. Step 6: Final answer
    x = 518,515.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.