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Finding the Third Proportional to 122,230 and 264,809.50

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Solution

The third proportional to 122,230 and 264,809.50 is: 573,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,230 : 264,809.50 = 264,809.50 : x
  2. Step 2: Convert to fraction form
    122,230/264,809.50 = 264,809.50/x
  3. Step 3: Cross multiply
    122,230x = 264,809.50 × 264,809.50
  4. Step 4: Simplify right side
    122,230x = 70,124,071,290.25
  5. Step 5: Solve for x
    x = 70,124,071,290.25/122,230
  6. Step 6: Final answer
    x = 573,705.89

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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.