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Finding the Third Proportional to 240,264 and 346,092

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Solution

The third proportional to 240,264 and 346,092 is: 498,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,264 : 346,092 = 346,092 : x
  2. Step 2: Convert to fraction form
    240,264/346,092 = 346,092/x
  3. Step 3: Cross multiply
    240,264x = 346,092 × 346,092
  4. Step 4: Simplify right side
    240,264x = 119,779,672,464
  5. Step 5: Solve for x
    x = 119,779,672,464/240,264
  6. Step 6: Final answer
    x = 498,533.58

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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.