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Finding the Third Proportional to 124,644.38 and 264,242.25

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Solution

The third proportional to 124,644.38 and 264,242.25 is: 560,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,644.38 : 264,242.25 = 264,242.25 : x
  2. Step 2: Convert to fraction form
    124,644.38/264,242.25 = 264,242.25/x
  3. Step 3: Cross multiply
    124,644.38x = 264,242.25 × 264,242.25
  4. Step 4: Simplify right side
    124,644.38x = 69,823,966,685.06
  5. Step 5: Solve for x
    x = 69,823,966,685.06/124,644.38
  6. Step 6: Final answer
    x = 560,185.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.