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Finding the Third Proportional to 190,502 and 407,250

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Solution

The third proportional to 190,502 and 407,250 is: 870,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,502 : 407,250 = 407,250 : x
  2. Step 2: Convert to fraction form
    190,502/407,250 = 407,250/x
  3. Step 3: Cross multiply
    190,502x = 407,250 × 407,250
  4. Step 4: Simplify right side
    190,502x = 165,852,562,500
  5. Step 5: Solve for x
    x = 165,852,562,500/190,502
  6. Step 6: Final answer
    x = 870,607.99

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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.