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Finding the Third Proportional to 164,584 and 245,800

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Solution

The third proportional to 164,584 and 245,800 is: 367,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,584 : 245,800 = 245,800 : x
  2. Step 2: Convert to fraction form
    164,584/245,800 = 245,800/x
  3. Step 3: Cross multiply
    164,584x = 245,800 × 245,800
  4. Step 4: Simplify right side
    164,584x = 60,417,640,000
  5. Step 5: Solve for x
    x = 60,417,640,000/164,584
  6. Step 6: Final answer
    x = 367,093.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.