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Finding the Third Proportional to 190,026 and 412,907.63

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Solution

The third proportional to 190,026 and 412,907.63 is: 897,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,026 : 412,907.63 = 412,907.63 : x
  2. Step 2: Convert to fraction form
    190,026/412,907.63 = 412,907.63/x
  3. Step 3: Cross multiply
    190,026x = 412,907.63 × 412,907.63
  4. Step 4: Simplify right side
    190,026x = 170,492,706,783.14
  5. Step 5: Solve for x
    x = 170,492,706,783.14/190,026
  6. Step 6: Final answer
    x = 897,207.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.