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Finding the Third Proportional to 77,229 and 180,428.75

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Solution

The third proportional to 77,229 and 180,428.75 is: 421,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,229 : 180,428.75 = 180,428.75 : x
  2. Step 2: Convert to fraction form
    77,229/180,428.75 = 180,428.75/x
  3. Step 3: Cross multiply
    77,229x = 180,428.75 × 180,428.75
  4. Step 4: Simplify right side
    77,229x = 32,554,533,826.56
  5. Step 5: Solve for x
    x = 32,554,533,826.56/77,229
  6. Step 6: Final answer
    x = 421,532.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.