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Finding the Third Proportional to 147,310 and 320,870

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Solution

The third proportional to 147,310 and 320,870 is: 698,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,310 : 320,870 = 320,870 : x
  2. Step 2: Convert to fraction form
    147,310/320,870 = 320,870/x
  3. Step 3: Cross multiply
    147,310x = 320,870 × 320,870
  4. Step 4: Simplify right side
    147,310x = 102,957,556,900
  5. Step 5: Solve for x
    x = 102,957,556,900/147,310
  6. Step 6: Final answer
    x = 698,917.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.