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Finding the Third Proportional to 209,046 and 308,649

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Solution

The third proportional to 209,046 and 308,649 is: 455,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046 : 308,649 = 308,649 : x
  2. Step 2: Convert to fraction form
    209,046/308,649 = 308,649/x
  3. Step 3: Cross multiply
    209,046x = 308,649 × 308,649
  4. Step 4: Simplify right side
    209,046x = 95,264,205,201
  5. Step 5: Solve for x
    x = 95,264,205,201/209,046
  6. Step 6: Final answer
    x = 455,709.29

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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.