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Finding the Third Proportional to 114,720 and 250,608

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Solution

The third proportional to 114,720 and 250,608 is: 547,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,720 : 250,608 = 250,608 : x
  2. Step 2: Convert to fraction form
    114,720/250,608 = 250,608/x
  3. Step 3: Cross multiply
    114,720x = 250,608 × 250,608
  4. Step 4: Simplify right side
    114,720x = 62,804,369,664
  5. Step 5: Solve for x
    x = 62,804,369,664/114,720
  6. Step 6: Final answer
    x = 547,457.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.