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Finding the Third Proportional to 191,575 and 281,794.50

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Solution

The third proportional to 191,575 and 281,794.50 is: 414,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,575 : 281,794.50 = 281,794.50 : x
  2. Step 2: Convert to fraction form
    191,575/281,794.50 = 281,794.50/x
  3. Step 3: Cross multiply
    191,575x = 281,794.50 × 281,794.50
  4. Step 4: Simplify right side
    191,575x = 79,408,140,230.25
  5. Step 5: Solve for x
    x = 79,408,140,230.25/191,575
  6. Step 6: Final answer
    x = 414,501.58

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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.