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Finding the Third Proportional to 147,970 and 326,101

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Solution

The third proportional to 147,970 and 326,101 is: 718,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970 : 326,101 = 326,101 : x
  2. Step 2: Convert to fraction form
    147,970/326,101 = 326,101/x
  3. Step 3: Cross multiply
    147,970x = 326,101 × 326,101
  4. Step 4: Simplify right side
    147,970x = 106,341,862,201
  5. Step 5: Solve for x
    x = 106,341,862,201/147,970
  6. Step 6: Final answer
    x = 718,671.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.