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Finding the Third Proportional to 158,604 and 233,524.50

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Solution

The third proportional to 158,604 and 233,524.50 is: 343,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,604 : 233,524.50 = 233,524.50 : x
  2. Step 2: Convert to fraction form
    158,604/233,524.50 = 233,524.50/x
  3. Step 3: Cross multiply
    158,604x = 233,524.50 × 233,524.50
  4. Step 4: Simplify right side
    158,604x = 54,533,692,100.25
  5. Step 5: Solve for x
    x = 54,533,692,100.25/158,604
  6. Step 6: Final answer
    x = 343,835.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.