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Finding the Third Proportional to 144,301.50 and 211,765.50

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Solution

The third proportional to 144,301.50 and 211,765.50 is: 310,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,301.50 : 211,765.50 = 211,765.50 : x
  2. Step 2: Convert to fraction form
    144,301.50/211,765.50 = 211,765.50/x
  3. Step 3: Cross multiply
    144,301.50x = 211,765.50 × 211,765.50
  4. Step 4: Simplify right side
    144,301.50x = 44,844,626,990.25
  5. Step 5: Solve for x
    x = 44,844,626,990.25/144,301.50
  6. Step 6: Final answer
    x = 310,770.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.