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Finding the Third Proportional to 239,514.75 and 333,022.50

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Solution

The third proportional to 239,514.75 and 333,022.50 is: 463,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,514.75 : 333,022.50 = 333,022.50 : x
  2. Step 2: Convert to fraction form
    239,514.75/333,022.50 = 333,022.50/x
  3. Step 3: Cross multiply
    239,514.75x = 333,022.50 × 333,022.50
  4. Step 4: Simplify right side
    239,514.75x = 110,903,985,506.25
  5. Step 5: Solve for x
    x = 110,903,985,506.25/239,514.75
  6. Step 6: Final answer
    x = 463,036.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.