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Finding the Third Proportional to 117,024 and 252,480

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Solution

The third proportional to 117,024 and 252,480 is: 544,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 252,480 = 252,480 : x
  2. Step 2: Convert to fraction form
    117,024/252,480 = 252,480/x
  3. Step 3: Cross multiply
    117,024x = 252,480 × 252,480
  4. Step 4: Simplify right side
    117,024x = 63,746,150,400
  5. Step 5: Solve for x
    x = 63,746,150,400/117,024
  6. Step 6: Final answer
    x = 544,727.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.