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Finding the Third Proportional to 208,032 and 304,643

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Solution

The third proportional to 208,032 and 304,643 is: 446,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 304,643 = 304,643 : x
  2. Step 2: Convert to fraction form
    208,032/304,643 = 304,643/x
  3. Step 3: Cross multiply
    208,032x = 304,643 × 304,643
  4. Step 4: Simplify right side
    208,032x = 92,807,357,449
  5. Step 5: Solve for x
    x = 92,807,357,449/208,032
  6. Step 6: Final answer
    x = 446,120.58

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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.