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Finding the Third Proportional to 190,070 and 411,509

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Solution

The third proportional to 190,070 and 411,509 is: 890,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,070 : 411,509 = 411,509 : x
  2. Step 2: Convert to fraction form
    190,070/411,509 = 411,509/x
  3. Step 3: Cross multiply
    190,070x = 411,509 × 411,509
  4. Step 4: Simplify right side
    190,070x = 169,339,657,081
  5. Step 5: Solve for x
    x = 169,339,657,081/190,070
  6. Step 6: Final answer
    x = 890,933.11

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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.