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Finding the Third Proportional to 146,148 and 319,352

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Solution

The third proportional to 146,148 and 319,352 is: 697,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,148 : 319,352 = 319,352 : x
  2. Step 2: Convert to fraction form
    146,148/319,352 = 319,352/x
  3. Step 3: Cross multiply
    146,148x = 319,352 × 319,352
  4. Step 4: Simplify right side
    146,148x = 101,985,699,904
  5. Step 5: Solve for x
    x = 101,985,699,904/146,148
  6. Step 6: Final answer
    x = 697,824.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.