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Finding the Third Proportional to 116,430 and 254,028

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Solution

The third proportional to 116,430 and 254,028 is: 554,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,430 : 254,028 = 254,028 : x
  2. Step 2: Convert to fraction form
    116,430/254,028 = 254,028/x
  3. Step 3: Cross multiply
    116,430x = 254,028 × 254,028
  4. Step 4: Simplify right side
    116,430x = 64,530,224,784
  5. Step 5: Solve for x
    x = 64,530,224,784/116,430
  6. Step 6: Final answer
    x = 554,240.53

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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.