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Finding the Third Proportional to 118,512 and 264,888

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Solution

The third proportional to 118,512 and 264,888 is: 592,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512 : 264,888 = 264,888 : x
  2. Step 2: Convert to fraction form
    118,512/264,888 = 264,888/x
  3. Step 3: Cross multiply
    118,512x = 264,888 × 264,888
  4. Step 4: Simplify right side
    118,512x = 70,165,652,544
  5. Step 5: Solve for x
    x = 70,165,652,544/118,512
  6. Step 6: Final answer
    x = 592,055.26

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.