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Finding the Third Proportional to 147,970.50 and 326,103

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Solution

The third proportional to 147,970.50 and 326,103 is: 718,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970.50 : 326,103 = 326,103 : x
  2. Step 2: Convert to fraction form
    147,970.50/326,103 = 326,103/x
  3. Step 3: Cross multiply
    147,970.50x = 326,103 × 326,103
  4. Step 4: Simplify right side
    147,970.50x = 106,343,166,609
  5. Step 5: Solve for x
    x = 106,343,166,609/147,970.50
  6. Step 6: Final answer
    x = 718,678.16

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