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Finding the Third Proportional to 239,376 and 354,435

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Solution

The third proportional to 239,376 and 354,435 is: 524,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,376 : 354,435 = 354,435 : x
  2. Step 2: Convert to fraction form
    239,376/354,435 = 354,435/x
  3. Step 3: Cross multiply
    239,376x = 354,435 × 354,435
  4. Step 4: Simplify right side
    239,376x = 125,624,169,225
  5. Step 5: Solve for x
    x = 125,624,169,225/239,376
  6. Step 6: Final answer
    x = 524,798.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.