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Finding the Third Proportional to 144,826 and 307,132

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Solution

The third proportional to 144,826 and 307,132 is: 651,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,826 : 307,132 = 307,132 : x
  2. Step 2: Convert to fraction form
    144,826/307,132 = 307,132/x
  3. Step 3: Cross multiply
    144,826x = 307,132 × 307,132
  4. Step 4: Simplify right side
    144,826x = 94,330,065,424
  5. Step 5: Solve for x
    x = 94,330,065,424/144,826
  6. Step 6: Final answer
    x = 651,333.78

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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.