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Finding the Third Proportional to 144,816 and 307,112

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Solution

The third proportional to 144,816 and 307,112 is: 651,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,816 : 307,112 = 307,112 : x
  2. Step 2: Convert to fraction form
    144,816/307,112 = 307,112/x
  3. Step 3: Cross multiply
    144,816x = 307,112 × 307,112
  4. Step 4: Simplify right side
    144,816x = 94,317,780,544
  5. Step 5: Solve for x
    x = 94,317,780,544/144,816
  6. Step 6: Final answer
    x = 651,293.92

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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.