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Finding the Third Proportional to 177,457.50 and 265,912.88

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Solution

The third proportional to 177,457.50 and 265,912.88 is: 398,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,457.50 : 265,912.88 = 265,912.88 : x
  2. Step 2: Convert to fraction form
    177,457.50/265,912.88 = 265,912.88/x
  3. Step 3: Cross multiply
    177,457.50x = 265,912.88 × 265,912.88
  4. Step 4: Simplify right side
    177,457.50x = 70,709,657,090.77
  5. Step 5: Solve for x
    x = 70,709,657,090.77/177,457.50
  6. Step 6: Final answer
    x = 398,459.67

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Why These Related Problems?

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