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Finding the Third Proportional to 144,591 and 306,678

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Solution

The third proportional to 144,591 and 306,678 is: 650,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,591 : 306,678 = 306,678 : x
  2. Step 2: Convert to fraction form
    144,591/306,678 = 306,678/x
  3. Step 3: Cross multiply
    144,591x = 306,678 × 306,678
  4. Step 4: Simplify right side
    144,591x = 94,051,395,684
  5. Step 5: Solve for x
    x = 94,051,395,684/144,591
  6. Step 6: Final answer
    x = 650,465.08

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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.