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Finding the Third Proportional to 116,143 and 254,429

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Solution

The third proportional to 116,143 and 254,429 is: 557,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,143 : 254,429 = 254,429 : x
  2. Step 2: Convert to fraction form
    116,143/254,429 = 254,429/x
  3. Step 3: Cross multiply
    116,143x = 254,429 × 254,429
  4. Step 4: Simplify right side
    116,143x = 64,734,116,041
  5. Step 5: Solve for x
    x = 64,734,116,041/116,143
  6. Step 6: Final answer
    x = 557,365.63

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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.