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Finding the Third Proportional to 122,045.34 and 264,389.06

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Solution

The third proportional to 122,045.34 and 264,389.06 is: 572,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,045.34 : 264,389.06 = 264,389.06 : x
  2. Step 2: Convert to fraction form
    122,045.34/264,389.06 = 264,389.06/x
  3. Step 3: Cross multiply
    122,045.34x = 264,389.06 × 264,389.06
  4. Step 4: Simplify right side
    122,045.34x = 69,901,576,369.63
  5. Step 5: Solve for x
    x = 69,901,576,369.63/122,045.34
  6. Step 6: Final answer
    x = 572,750.87

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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.