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Finding the Third Proportional to 140,594.63 and 301,966.88

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Solution

The third proportional to 140,594.63 and 301,966.88 is: 648,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,594.63 : 301,966.88 = 301,966.88 : x
  2. Step 2: Convert to fraction form
    140,594.63/301,966.88 = 301,966.88/x
  3. Step 3: Cross multiply
    140,594.63x = 301,966.88 × 301,966.88
  4. Step 4: Simplify right side
    140,594.63x = 91,183,993,597.27
  5. Step 5: Solve for x
    x = 91,183,993,597.27/140,594.63
  6. Step 6: Final answer
    x = 648,559.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.