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Finding the Third Proportional to 117,306 and 251,216

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Solution

The third proportional to 117,306 and 251,216 is: 537,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,306 : 251,216 = 251,216 : x
  2. Step 2: Convert to fraction form
    117,306/251,216 = 251,216/x
  3. Step 3: Cross multiply
    117,306x = 251,216 × 251,216
  4. Step 4: Simplify right side
    117,306x = 63,109,478,656
  5. Step 5: Solve for x
    x = 63,109,478,656/117,306
  6. Step 6: Final answer
    x = 537,990.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.