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Finding the Third Proportional to 116,713 and 256,119

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Solution

The third proportional to 116,713 and 256,119 is: 562,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,713 : 256,119 = 256,119 : x
  2. Step 2: Convert to fraction form
    116,713/256,119 = 256,119/x
  3. Step 3: Cross multiply
    116,713x = 256,119 × 256,119
  4. Step 4: Simplify right side
    116,713x = 65,596,942,161
  5. Step 5: Solve for x
    x = 65,596,942,161/116,713
  6. Step 6: Final answer
    x = 562,036.30

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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.