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Finding the Third Proportional to 193,276 and 307,482

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Solution

The third proportional to 193,276 and 307,482 is: 489,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,276 : 307,482 = 307,482 : x
  2. Step 2: Convert to fraction form
    193,276/307,482 = 307,482/x
  3. Step 3: Cross multiply
    193,276x = 307,482 × 307,482
  4. Step 4: Simplify right side
    193,276x = 94,545,180,324
  5. Step 5: Solve for x
    x = 94,545,180,324/193,276
  6. Step 6: Final answer
    x = 489,171.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.