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Finding the Third Proportional to 239,520 and 333,030

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Solution

The third proportional to 239,520 and 333,030 is: 463,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,520 : 333,030 = 333,030 : x
  2. Step 2: Convert to fraction form
    239,520/333,030 = 333,030/x
  3. Step 3: Cross multiply
    239,520x = 333,030 × 333,030
  4. Step 4: Simplify right side
    239,520x = 110,908,980,900
  5. Step 5: Solve for x
    x = 110,908,980,900/239,520
  6. Step 6: Final answer
    x = 463,046.85

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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.