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Finding the Third Proportional to 237,499.50 and 355,063.50

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Solution

The third proportional to 237,499.50 and 355,063.50 is: 530,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,499.50 : 355,063.50 = 355,063.50 : x
  2. Step 2: Convert to fraction form
    237,499.50/355,063.50 = 355,063.50/x
  3. Step 3: Cross multiply
    237,499.50x = 355,063.50 × 355,063.50
  4. Step 4: Simplify right side
    237,499.50x = 126,070,089,032.25
  5. Step 5: Solve for x
    x = 126,070,089,032.25/237,499.50
  6. Step 6: Final answer
    x = 530,822.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.