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Finding the Third Proportional to 148,206 and 319,584

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Solution

The third proportional to 148,206 and 319,584 is: 689,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,206 : 319,584 = 319,584 : x
  2. Step 2: Convert to fraction form
    148,206/319,584 = 319,584/x
  3. Step 3: Cross multiply
    148,206x = 319,584 × 319,584
  4. Step 4: Simplify right side
    148,206x = 102,133,933,056
  5. Step 5: Solve for x
    x = 102,133,933,056/148,206
  6. Step 6: Final answer
    x = 689,134.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.