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Finding the Third Proportional to 190,532 and 411,196

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Solution

The third proportional to 190,532 and 411,196 is: 887,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,532 : 411,196 = 411,196 : x
  2. Step 2: Convert to fraction form
    190,532/411,196 = 411,196/x
  3. Step 3: Cross multiply
    190,532x = 411,196 × 411,196
  4. Step 4: Simplify right side
    190,532x = 169,082,150,416
  5. Step 5: Solve for x
    x = 169,082,150,416/190,532
  6. Step 6: Final answer
    x = 887,421.28

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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.