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Finding the Third Proportional to 152,740.50 and 332,575.50

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Solution

The third proportional to 152,740.50 and 332,575.50 is: 724,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,740.50 : 332,575.50 = 332,575.50 : x
  2. Step 2: Convert to fraction form
    152,740.50/332,575.50 = 332,575.50/x
  3. Step 3: Cross multiply
    152,740.50x = 332,575.50 × 332,575.50
  4. Step 4: Simplify right side
    152,740.50x = 110,606,463,200.25
  5. Step 5: Solve for x
    x = 110,606,463,200.25/152,740.50
  6. Step 6: Final answer
    x = 724,146.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.