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Finding the Third Proportional to 144,630 and 311,485.50

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Solution

The third proportional to 144,630 and 311,485.50 is: 670,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,630 : 311,485.50 = 311,485.50 : x
  2. Step 2: Convert to fraction form
    144,630/311,485.50 = 311,485.50/x
  3. Step 3: Cross multiply
    144,630x = 311,485.50 × 311,485.50
  4. Step 4: Simplify right side
    144,630x = 97,023,216,710.25
  5. Step 5: Solve for x
    x = 97,023,216,710.25/144,630
  6. Step 6: Final answer
    x = 670,837.42

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