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Finding the Third Proportional to 170,281.50 and 365,013

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Solution

The third proportional to 170,281.50 and 365,013 is: 782,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,281.50 : 365,013 = 365,013 : x
  2. Step 2: Convert to fraction form
    170,281.50/365,013 = 365,013/x
  3. Step 3: Cross multiply
    170,281.50x = 365,013 × 365,013
  4. Step 4: Simplify right side
    170,281.50x = 133,234,490,169
  5. Step 5: Solve for x
    x = 133,234,490,169/170,281.50
  6. Step 6: Final answer
    x = 782,436.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.