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Finding the Third Proportional to 116,907 and 253,737

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Solution

The third proportional to 116,907 and 253,737 is: 550,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,907 : 253,737 = 253,737 : x
  2. Step 2: Convert to fraction form
    116,907/253,737 = 253,737/x
  3. Step 3: Cross multiply
    116,907x = 253,737 × 253,737
  4. Step 4: Simplify right side
    116,907x = 64,382,465,169
  5. Step 5: Solve for x
    x = 64,382,465,169/116,907
  6. Step 6: Final answer
    x = 550,715.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.