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Finding the Third Proportional to 190,133 and 410,410

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Solution

The third proportional to 190,133 and 410,410 is: 885,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,133 : 410,410 = 410,410 : x
  2. Step 2: Convert to fraction form
    190,133/410,410 = 410,410/x
  3. Step 3: Cross multiply
    190,133x = 410,410 × 410,410
  4. Step 4: Simplify right side
    190,133x = 168,436,368,100
  5. Step 5: Solve for x
    x = 168,436,368,100/190,133
  6. Step 6: Final answer
    x = 885,887.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.