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Finding the Third Proportional to 147,003.75 and 322,029

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Solution

The third proportional to 147,003.75 and 322,029 is: 705,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,003.75 : 322,029 = 322,029 : x
  2. Step 2: Convert to fraction form
    147,003.75/322,029 = 322,029/x
  3. Step 3: Cross multiply
    147,003.75x = 322,029 × 322,029
  4. Step 4: Simplify right side
    147,003.75x = 103,702,676,841
  5. Step 5: Solve for x
    x = 103,702,676,841/147,003.75
  6. Step 6: Final answer
    x = 705,442.39

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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.