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Finding the Third Proportional to 141,378.50 and 307,300

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Solution

The third proportional to 141,378.50 and 307,300 is: 667,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,378.50 : 307,300 = 307,300 : x
  2. Step 2: Convert to fraction form
    141,378.50/307,300 = 307,300/x
  3. Step 3: Cross multiply
    141,378.50x = 307,300 × 307,300
  4. Step 4: Simplify right side
    141,378.50x = 94,433,290,000
  5. Step 5: Solve for x
    x = 94,433,290,000/141,378.50
  6. Step 6: Final answer
    x = 667,946.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.