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Finding the Third Proportional to 190,034.16 and 413,145.84

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Solution

The third proportional to 190,034.16 and 413,145.84 is: 898,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,034.16 : 413,145.84 = 413,145.84 : x
  2. Step 2: Convert to fraction form
    190,034.16/413,145.84 = 413,145.84/x
  3. Step 3: Cross multiply
    190,034.16x = 413,145.84 × 413,145.84
  4. Step 4: Simplify right side
    190,034.16x = 170,689,488,207.90
  5. Step 5: Solve for x
    x = 170,689,488,207.90/190,034.16
  6. Step 6: Final answer
    x = 898,204.26

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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.