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Finding the Third Proportional to 145,608.75 and 311,457.75

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Solution

The third proportional to 145,608.75 and 311,457.75 is: 666,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,608.75 : 311,457.75 = 311,457.75 : x
  2. Step 2: Convert to fraction form
    145,608.75/311,457.75 = 311,457.75/x
  3. Step 3: Cross multiply
    145,608.75x = 311,457.75 × 311,457.75
  4. Step 4: Simplify right side
    145,608.75x = 97,005,930,035.06
  5. Step 5: Solve for x
    x = 97,005,930,035.06/145,608.75
  6. Step 6: Final answer
    x = 666,209.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.