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Finding the Third Proportional to 115,316 and 250,827

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Solution

The third proportional to 115,316 and 250,827 is: 545,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,316 : 250,827 = 250,827 : x
  2. Step 2: Convert to fraction form
    115,316/250,827 = 250,827/x
  3. Step 3: Cross multiply
    115,316x = 250,827 × 250,827
  4. Step 4: Simplify right side
    115,316x = 62,914,183,929
  5. Step 5: Solve for x
    x = 62,914,183,929/115,316
  6. Step 6: Final answer
    x = 545,580.70

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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.