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Finding the Third Proportional to 116,028 and 254,457

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Solution

The third proportional to 116,028 and 254,457 is: 558,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,028 : 254,457 = 254,457 : x
  2. Step 2: Convert to fraction form
    116,028/254,457 = 254,457/x
  3. Step 3: Cross multiply
    116,028x = 254,457 × 254,457
  4. Step 4: Simplify right side
    116,028x = 64,748,364,849
  5. Step 5: Solve for x
    x = 64,748,364,849/116,028
  6. Step 6: Final answer
    x = 558,040.86

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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.