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Finding the Third Proportional to 147,058 and 322,101

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Solution

The third proportional to 147,058 and 322,101 is: 705,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,058 : 322,101 = 322,101 : x
  2. Step 2: Convert to fraction form
    147,058/322,101 = 322,101/x
  3. Step 3: Cross multiply
    147,058x = 322,101 × 322,101
  4. Step 4: Simplify right side
    147,058x = 103,749,054,201
  5. Step 5: Solve for x
    x = 103,749,054,201/147,058
  6. Step 6: Final answer
    x = 705,497.52

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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.