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Finding the Third Proportional to 208,043 and 304,659

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Solution

The third proportional to 208,043 and 304,659 is: 446,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,043 : 304,659 = 304,659 : x
  2. Step 2: Convert to fraction form
    208,043/304,659 = 304,659/x
  3. Step 3: Cross multiply
    208,043x = 304,659 × 304,659
  4. Step 4: Simplify right side
    208,043x = 92,817,106,281
  5. Step 5: Solve for x
    x = 92,817,106,281/208,043
  6. Step 6: Final answer
    x = 446,143.86

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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.