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Finding the Third Proportional to 127,504 and 265,504

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Solution

The third proportional to 127,504 and 265,504 is: 552,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,504 : 265,504 = 265,504 : x
  2. Step 2: Convert to fraction form
    127,504/265,504 = 265,504/x
  3. Step 3: Cross multiply
    127,504x = 265,504 × 265,504
  4. Step 4: Simplify right side
    127,504x = 70,492,374,016
  5. Step 5: Solve for x
    x = 70,492,374,016/127,504
  6. Step 6: Final answer
    x = 552,864.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.