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Finding the Third Proportional to 191,373 and 281,522

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Solution

The third proportional to 191,373 and 281,522 is: 414,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,373 : 281,522 = 281,522 : x
  2. Step 2: Convert to fraction form
    191,373/281,522 = 281,522/x
  3. Step 3: Cross multiply
    191,373x = 281,522 × 281,522
  4. Step 4: Simplify right side
    191,373x = 79,254,636,484
  5. Step 5: Solve for x
    x = 79,254,636,484/191,373
  6. Step 6: Final answer
    x = 414,136.98

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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.