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Finding the Third Proportional to 334,106 and 518,134

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Solution

The third proportional to 334,106 and 518,134 is: 803,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,106 : 518,134 = 518,134 : x
  2. Step 2: Convert to fraction form
    334,106/518,134 = 518,134/x
  3. Step 3: Cross multiply
    334,106x = 518,134 × 518,134
  4. Step 4: Simplify right side
    334,106x = 268,462,841,956
  5. Step 5: Solve for x
    x = 268,462,841,956/334,106
  6. Step 6: Final answer
    x = 803,525.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.