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Finding the Third Proportional to 127,360 and 273,514

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Solution

The third proportional to 127,360 and 273,514 is: 587,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,360 : 273,514 = 273,514 : x
  2. Step 2: Convert to fraction form
    127,360/273,514 = 273,514/x
  3. Step 3: Cross multiply
    127,360x = 273,514 × 273,514
  4. Step 4: Simplify right side
    127,360x = 74,809,908,196
  5. Step 5: Solve for x
    x = 74,809,908,196/127,360
  6. Step 6: Final answer
    x = 587,389.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.