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Finding the Third Proportional to 346,330.50 and 518,102

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Solution

The third proportional to 346,330.50 and 518,102 is: 775,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,330.50 : 518,102 = 518,102 : x
  2. Step 2: Convert to fraction form
    346,330.50/518,102 = 518,102/x
  3. Step 3: Cross multiply
    346,330.50x = 518,102 × 518,102
  4. Step 4: Simplify right side
    346,330.50x = 268,429,682,404
  5. Step 5: Solve for x
    x = 268,429,682,404/346,330.50
  6. Step 6: Final answer
    x = 775,067.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.