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Finding the Third Proportional to 193,176 and 307,382

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Solution

The third proportional to 193,176 and 307,382 is: 489,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176 : 307,382 = 307,382 : x
  2. Step 2: Convert to fraction form
    193,176/307,382 = 307,382/x
  3. Step 3: Cross multiply
    193,176x = 307,382 × 307,382
  4. Step 4: Simplify right side
    193,176x = 94,483,693,924
  5. Step 5: Solve for x
    x = 94,483,693,924/193,176
  6. Step 6: Final answer
    x = 489,106.79

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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.