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Finding the Third Proportional to 118,996 and 250,263

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Solution

The third proportional to 118,996 and 250,263 is: 526,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996 : 250,263 = 250,263 : x
  2. Step 2: Convert to fraction form
    118,996/250,263 = 250,263/x
  3. Step 3: Cross multiply
    118,996x = 250,263 × 250,263
  4. Step 4: Simplify right side
    118,996x = 62,631,569,169
  5. Step 5: Solve for x
    x = 62,631,569,169/118,996
  6. Step 6: Final answer
    x = 526,333.40

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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.