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Finding the Third Proportional to 190,159 and 284,646

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Solution

The third proportional to 190,159 and 284,646 is: 426,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,159 : 284,646 = 284,646 : x
  2. Step 2: Convert to fraction form
    190,159/284,646 = 284,646/x
  3. Step 3: Cross multiply
    190,159x = 284,646 × 284,646
  4. Step 4: Simplify right side
    190,159x = 81,023,345,316
  5. Step 5: Solve for x
    x = 81,023,345,316/190,159
  6. Step 6: Final answer
    x = 426,082.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.