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Finding the Third Proportional to 141,122 and 305,247.50

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Solution

The third proportional to 141,122 and 305,247.50 is: 660,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,122 : 305,247.50 = 305,247.50 : x
  2. Step 2: Convert to fraction form
    141,122/305,247.50 = 305,247.50/x
  3. Step 3: Cross multiply
    141,122x = 305,247.50 × 305,247.50
  4. Step 4: Simplify right side
    141,122x = 93,176,036,256.25
  5. Step 5: Solve for x
    x = 93,176,036,256.25/141,122
  6. Step 6: Final answer
    x = 660,251.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.