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Finding the Third Proportional to 190,152 and 407,295

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Solution

The third proportional to 190,152 and 407,295 is: 872,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,152 : 407,295 = 407,295 : x
  2. Step 2: Convert to fraction form
    190,152/407,295 = 407,295/x
  3. Step 3: Cross multiply
    190,152x = 407,295 × 407,295
  4. Step 4: Simplify right side
    190,152x = 165,889,217,025
  5. Step 5: Solve for x
    x = 165,889,217,025/190,152
  6. Step 6: Final answer
    x = 872,403.22

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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.