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Finding the Third Proportional to 147,054 and 322,110

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Solution

The third proportional to 147,054 and 322,110 is: 705,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,054 : 322,110 = 322,110 : x
  2. Step 2: Convert to fraction form
    147,054/322,110 = 322,110/x
  3. Step 3: Cross multiply
    147,054x = 322,110 × 322,110
  4. Step 4: Simplify right side
    147,054x = 103,754,852,100
  5. Step 5: Solve for x
    x = 103,754,852,100/147,054
  6. Step 6: Final answer
    x = 705,556.14

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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.