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Finding the Third Proportional to 191,232 and 281,310

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Solution

The third proportional to 191,232 and 281,310 is: 413,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 281,310 = 281,310 : x
  2. Step 2: Convert to fraction form
    191,232/281,310 = 281,310/x
  3. Step 3: Cross multiply
    191,232x = 281,310 × 281,310
  4. Step 4: Simplify right side
    191,232x = 79,135,316,100
  5. Step 5: Solve for x
    x = 79,135,316,100/191,232
  6. Step 6: Final answer
    x = 413,818.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.