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Finding the Third Proportional to 127,596 and 268,254

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Solution

The third proportional to 127,596 and 268,254 is: 563,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 268,254 = 268,254 : x
  2. Step 2: Convert to fraction form
    127,596/268,254 = 268,254/x
  3. Step 3: Cross multiply
    127,596x = 268,254 × 268,254
  4. Step 4: Simplify right side
    127,596x = 71,960,208,516
  5. Step 5: Solve for x
    x = 71,960,208,516/127,596
  6. Step 6: Final answer
    x = 563,969.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.