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Finding the Third Proportional to 143,607 and 301,909.50

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Solution

The third proportional to 143,607 and 301,909.50 is: 634,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,607 : 301,909.50 = 301,909.50 : x
  2. Step 2: Convert to fraction form
    143,607/301,909.50 = 301,909.50/x
  3. Step 3: Cross multiply
    143,607x = 301,909.50 × 301,909.50
  4. Step 4: Simplify right side
    143,607x = 91,149,346,190.25
  5. Step 5: Solve for x
    x = 91,149,346,190.25/143,607
  6. Step 6: Final answer
    x = 634,713.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.