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Finding the Third Proportional to 193,164 and 307,362

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Solution

The third proportional to 193,164 and 307,362 is: 489,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,164 : 307,362 = 307,362 : x
  2. Step 2: Convert to fraction form
    193,164/307,362 = 307,362/x
  3. Step 3: Cross multiply
    193,164x = 307,362 × 307,362
  4. Step 4: Simplify right side
    193,164x = 94,471,399,044
  5. Step 5: Solve for x
    x = 94,471,399,044/193,164
  6. Step 6: Final answer
    x = 489,073.53

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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.