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Finding the Third Proportional to 185,457.75 and 332,623.75

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Solution

The third proportional to 185,457.75 and 332,623.75 is: 596,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,457.75 : 332,623.75 = 332,623.75 : x
  2. Step 2: Convert to fraction form
    185,457.75/332,623.75 = 332,623.75/x
  3. Step 3: Cross multiply
    185,457.75x = 332,623.75 × 332,623.75
  4. Step 4: Simplify right side
    185,457.75x = 110,638,559,064.06
  5. Step 5: Solve for x
    x = 110,638,559,064.06/185,457.75
  6. Step 6: Final answer
    x = 596,570.16

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.