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Finding the Third Proportional to 116,194 and 253,709

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Solution

The third proportional to 116,194 and 253,709 is: 553,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,194 : 253,709 = 253,709 : x
  2. Step 2: Convert to fraction form
    116,194/253,709 = 253,709/x
  3. Step 3: Cross multiply
    116,194x = 253,709 × 253,709
  4. Step 4: Simplify right side
    116,194x = 64,368,256,681
  5. Step 5: Solve for x
    x = 64,368,256,681/116,194
  6. Step 6: Final answer
    x = 553,972.29

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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.