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Finding the Third Proportional to 116,330 and 245,716

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Solution

The third proportional to 116,330 and 245,716 is: 519,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,330 : 245,716 = 245,716 : x
  2. Step 2: Convert to fraction form
    116,330/245,716 = 245,716/x
  3. Step 3: Cross multiply
    116,330x = 245,716 × 245,716
  4. Step 4: Simplify right side
    116,330x = 60,376,352,656
  5. Step 5: Solve for x
    x = 60,376,352,656/116,330
  6. Step 6: Final answer
    x = 519,009.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.