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Finding the Third Proportional to 116,646 and 255,459

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Solution

The third proportional to 116,646 and 255,459 is: 559,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,646 : 255,459 = 255,459 : x
  2. Step 2: Convert to fraction form
    116,646/255,459 = 255,459/x
  3. Step 3: Cross multiply
    116,646x = 255,459 × 255,459
  4. Step 4: Simplify right side
    116,646x = 65,259,300,681
  5. Step 5: Solve for x
    x = 65,259,300,681/116,646
  6. Step 6: Final answer
    x = 559,464.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.