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Finding the Third Proportional to 157,039 and 343,984.50

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Solution

The third proportional to 157,039 and 343,984.50 is: 753,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,039 : 343,984.50 = 343,984.50 : x
  2. Step 2: Convert to fraction form
    157,039/343,984.50 = 343,984.50/x
  3. Step 3: Cross multiply
    157,039x = 343,984.50 × 343,984.50
  4. Step 4: Simplify right side
    157,039x = 118,325,336,240.25
  5. Step 5: Solve for x
    x = 118,325,336,240.25/157,039
  6. Step 6: Final answer
    x = 753,477.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.