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Finding the Third Proportional to 116,280 and 250,308

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Solution

The third proportional to 116,280 and 250,308 is: 538,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,280 : 250,308 = 250,308 : x
  2. Step 2: Convert to fraction form
    116,280/250,308 = 250,308/x
  3. Step 3: Cross multiply
    116,280x = 250,308 × 250,308
  4. Step 4: Simplify right side
    116,280x = 62,654,094,864
  5. Step 5: Solve for x
    x = 62,654,094,864/116,280
  6. Step 6: Final answer
    x = 538,820.91

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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.