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Finding the Third Proportional to 191,840 and 300,276

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Solution

The third proportional to 191,840 and 300,276 is: 470,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840 : 300,276 = 300,276 : x
  2. Step 2: Convert to fraction form
    191,840/300,276 = 300,276/x
  3. Step 3: Cross multiply
    191,840x = 300,276 × 300,276
  4. Step 4: Simplify right side
    191,840x = 90,165,676,176
  5. Step 5: Solve for x
    x = 90,165,676,176/191,840
  6. Step 6: Final answer
    x = 470,004.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.