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Finding the Third Proportional to 191,984 and 270,237

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Solution

The third proportional to 191,984 and 270,237 is: 380,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,984 : 270,237 = 270,237 : x
  2. Step 2: Convert to fraction form
    191,984/270,237 = 270,237/x
  3. Step 3: Cross multiply
    191,984x = 270,237 × 270,237
  4. Step 4: Simplify right side
    191,984x = 73,028,036,169
  5. Step 5: Solve for x
    x = 73,028,036,169/191,984
  6. Step 6: Final answer
    x = 380,386.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.