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Finding the Third Proportional to 223,935 and 492,148.50

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Solution

The third proportional to 223,935 and 492,148.50 is: 1,081,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,935 : 492,148.50 = 492,148.50 : x
  2. Step 2: Convert to fraction form
    223,935/492,148.50 = 492,148.50/x
  3. Step 3: Cross multiply
    223,935x = 492,148.50 × 492,148.50
  4. Step 4: Simplify right side
    223,935x = 242,210,146,052.25
  5. Step 5: Solve for x
    x = 242,210,146,052.25/223,935
  6. Step 6: Final answer
    x = 1,081,609.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.