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Finding the Third Proportional to 180,691 and 264,556

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Solution

The third proportional to 180,691 and 264,556 is: 387,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,691 : 264,556 = 264,556 : x
  2. Step 2: Convert to fraction form
    180,691/264,556 = 264,556/x
  3. Step 3: Cross multiply
    180,691x = 264,556 × 264,556
  4. Step 4: Simplify right side
    180,691x = 69,989,877,136
  5. Step 5: Solve for x
    x = 69,989,877,136/180,691
  6. Step 6: Final answer
    x = 387,345.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.