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Finding the Third Proportional to 119,211 and 258,925.50

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Solution

The third proportional to 119,211 and 258,925.50 is: 562,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211 : 258,925.50 = 258,925.50 : x
  2. Step 2: Convert to fraction form
    119,211/258,925.50 = 258,925.50/x
  3. Step 3: Cross multiply
    119,211x = 258,925.50 × 258,925.50
  4. Step 4: Simplify right side
    119,211x = 67,042,414,550.25
  5. Step 5: Solve for x
    x = 67,042,414,550.25/119,211
  6. Step 6: Final answer
    x = 562,384.47

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