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Finding the Third Proportional to 180,316 and 280,300

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Solution

The third proportional to 180,316 and 280,300 is: 435,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,316 : 280,300 = 280,300 : x
  2. Step 2: Convert to fraction form
    180,316/280,300 = 280,300/x
  3. Step 3: Cross multiply
    180,316x = 280,300 × 280,300
  4. Step 4: Simplify right side
    180,316x = 78,568,090,000
  5. Step 5: Solve for x
    x = 78,568,090,000/180,316
  6. Step 6: Final answer
    x = 435,724.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.