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Finding the Third Proportional to 147,788.06 and 307,370.06

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Solution

The third proportional to 147,788.06 and 307,370.06 is: 639,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,788.06 : 307,370.06 = 307,370.06 : x
  2. Step 2: Convert to fraction form
    147,788.06/307,370.06 = 307,370.06/x
  3. Step 3: Cross multiply
    147,788.06x = 307,370.06 × 307,370.06
  4. Step 4: Simplify right side
    147,788.06x = 94,476,355,321.25
  5. Step 5: Solve for x
    x = 94,476,355,321.25/147,788.06
  6. Step 6: Final answer
    x = 639,269.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.