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Finding the Third Proportional to 115,924 and 253,988

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Solution

The third proportional to 115,924 and 253,988 is: 556,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,924 : 253,988 = 253,988 : x
  2. Step 2: Convert to fraction form
    115,924/253,988 = 253,988/x
  3. Step 3: Cross multiply
    115,924x = 253,988 × 253,988
  4. Step 4: Simplify right side
    115,924x = 64,509,904,144
  5. Step 5: Solve for x
    x = 64,509,904,144/115,924
  6. Step 6: Final answer
    x = 556,484.46

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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.