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Finding the Third Proportional to 147,039.75 and 322,085.25

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Solution

The third proportional to 147,039.75 and 322,085.25 is: 705,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,039.75 : 322,085.25 = 322,085.25 : x
  2. Step 2: Convert to fraction form
    147,039.75/322,085.25 = 322,085.25/x
  3. Step 3: Cross multiply
    147,039.75x = 322,085.25 × 322,085.25
  4. Step 4: Simplify right side
    147,039.75x = 103,738,908,267.56
  5. Step 5: Solve for x
    x = 103,738,908,267.56/147,039.75
  6. Step 6: Final answer
    x = 705,516.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.