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Finding the Third Proportional to 122,622 and 264,592.50

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Solution

The third proportional to 122,622 and 264,592.50 is: 570,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,622 : 264,592.50 = 264,592.50 : x
  2. Step 2: Convert to fraction form
    122,622/264,592.50 = 264,592.50/x
  3. Step 3: Cross multiply
    122,622x = 264,592.50 × 264,592.50
  4. Step 4: Simplify right side
    122,622x = 70,009,191,056.25
  5. Step 5: Solve for x
    x = 70,009,191,056.25/122,622
  6. Step 6: Final answer
    x = 570,935.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.