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Finding the Third Proportional to 240,077 and 350,247

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Solution

The third proportional to 240,077 and 350,247 is: 510,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,077 : 350,247 = 350,247 : x
  2. Step 2: Convert to fraction form
    240,077/350,247 = 350,247/x
  3. Step 3: Cross multiply
    240,077x = 350,247 × 350,247
  4. Step 4: Simplify right side
    240,077x = 122,672,961,009
  5. Step 5: Solve for x
    x = 122,672,961,009/240,077
  6. Step 6: Final answer
    x = 510,973.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.