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Finding the Third Proportional to 208,113 and 442,146

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Solution

The third proportional to 208,113 and 442,146 is: 939,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,113 : 442,146 = 442,146 : x
  2. Step 2: Convert to fraction form
    208,113/442,146 = 442,146/x
  3. Step 3: Cross multiply
    208,113x = 442,146 × 442,146
  4. Step 4: Simplify right side
    208,113x = 195,493,085,316
  5. Step 5: Solve for x
    x = 195,493,085,316/208,113
  6. Step 6: Final answer
    x = 939,360.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.