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Finding the Third Proportional to 230,515 and 355,996

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Solution

The third proportional to 230,515 and 355,996 is: 549,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,515 : 355,996 = 355,996 : x
  2. Step 2: Convert to fraction form
    230,515/355,996 = 355,996/x
  3. Step 3: Cross multiply
    230,515x = 355,996 × 355,996
  4. Step 4: Simplify right side
    230,515x = 126,733,152,016
  5. Step 5: Solve for x
    x = 126,733,152,016/230,515
  6. Step 6: Final answer
    x = 549,782.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.