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Finding the Third Proportional to 180,063 and 334,428.75

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Solution

The third proportional to 180,063 and 334,428.75 is: 621,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,063 : 334,428.75 = 334,428.75 : x
  2. Step 2: Convert to fraction form
    180,063/334,428.75 = 334,428.75/x
  3. Step 3: Cross multiply
    180,063x = 334,428.75 × 334,428.75
  4. Step 4: Simplify right side
    180,063x = 111,842,588,826.56
  5. Step 5: Solve for x
    x = 111,842,588,826.56/180,063
  6. Step 6: Final answer
    x = 621,130.32

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.