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Finding the Third Proportional to 144,399 and 307,504.50

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Solution

The third proportional to 144,399 and 307,504.50 is: 654,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,399 : 307,504.50 = 307,504.50 : x
  2. Step 2: Convert to fraction form
    144,399/307,504.50 = 307,504.50/x
  3. Step 3: Cross multiply
    144,399x = 307,504.50 × 307,504.50
  4. Step 4: Simplify right side
    144,399x = 94,559,017,520.25
  5. Step 5: Solve for x
    x = 94,559,017,520.25/144,399
  6. Step 6: Final answer
    x = 654,845.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.