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Finding the Third Proportional to 122,567.11 and 264,828.63

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Solution

The third proportional to 122,567.11 and 264,828.63 is: 572,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,567.11 : 264,828.63 = 264,828.63 : x
  2. Step 2: Convert to fraction form
    122,567.11/264,828.63 = 264,828.63/x
  3. Step 3: Cross multiply
    122,567.11x = 264,828.63 × 264,828.63
  4. Step 4: Simplify right side
    122,567.11x = 70,134,201,896.34
  5. Step 5: Solve for x
    x = 70,134,201,896.34/122,567.11
  6. Step 6: Final answer
    x = 572,210.63

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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.