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Finding the Third Proportional to 190,501.50 and 407,247

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Solution

The third proportional to 190,501.50 and 407,247 is: 870,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,501.50 : 407,247 = 407,247 : x
  2. Step 2: Convert to fraction form
    190,501.50/407,247 = 407,247/x
  3. Step 3: Cross multiply
    190,501.50x = 407,247 × 407,247
  4. Step 4: Simplify right side
    190,501.50x = 165,850,119,009
  5. Step 5: Solve for x
    x = 165,850,119,009/190,501.50
  6. Step 6: Final answer
    x = 870,597.44

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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.