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Finding the Third Proportional to 181,210.50 and 385,749

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Solution

The third proportional to 181,210.50 and 385,749 is: 821,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210.50 : 385,749 = 385,749 : x
  2. Step 2: Convert to fraction form
    181,210.50/385,749 = 385,749/x
  3. Step 3: Cross multiply
    181,210.50x = 385,749 × 385,749
  4. Step 4: Simplify right side
    181,210.50x = 148,802,291,001
  5. Step 5: Solve for x
    x = 148,802,291,001/181,210.50
  6. Step 6: Final answer
    x = 821,157.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.