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Finding the Third Proportional to 240,853.50 and 346,380

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Solution

The third proportional to 240,853.50 and 346,380 is: 498,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,853.50 : 346,380 = 346,380 : x
  2. Step 2: Convert to fraction form
    240,853.50/346,380 = 346,380/x
  3. Step 3: Cross multiply
    240,853.50x = 346,380 × 346,380
  4. Step 4: Simplify right side
    240,853.50x = 119,979,104,400
  5. Step 5: Solve for x
    x = 119,979,104,400/240,853.50
  6. Step 6: Final answer
    x = 498,141.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.