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Finding the Third Proportional to 208,047 and 304,665

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Solution

The third proportional to 208,047 and 304,665 is: 446,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047 : 304,665 = 304,665 : x
  2. Step 2: Convert to fraction form
    208,047/304,665 = 304,665/x
  3. Step 3: Cross multiply
    208,047x = 304,665 × 304,665
  4. Step 4: Simplify right side
    208,047x = 92,820,762,225
  5. Step 5: Solve for x
    x = 92,820,762,225/208,047
  6. Step 6: Final answer
    x = 446,152.85

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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.