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Finding the Third Proportional to 127,748 and 263,700

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Solution

The third proportional to 127,748 and 263,700 is: 544,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,748 : 263,700 = 263,700 : x
  2. Step 2: Convert to fraction form
    127,748/263,700 = 263,700/x
  3. Step 3: Cross multiply
    127,748x = 263,700 × 263,700
  4. Step 4: Simplify right side
    127,748x = 69,537,690,000
  5. Step 5: Solve for x
    x = 69,537,690,000/127,748
  6. Step 6: Final answer
    x = 544,334.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.