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Finding the Third Proportional to 144,770.63 and 208,849.50

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Solution

The third proportional to 144,770.63 and 208,849.50 is: 301,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,770.63 : 208,849.50 = 208,849.50 : x
  2. Step 2: Convert to fraction form
    144,770.63/208,849.50 = 208,849.50/x
  3. Step 3: Cross multiply
    144,770.63x = 208,849.50 × 208,849.50
  4. Step 4: Simplify right side
    144,770.63x = 43,618,113,650.25
  5. Step 5: Solve for x
    x = 43,618,113,650.25/144,770.63
  6. Step 6: Final answer
    x = 301,291.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.