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Finding the Third Proportional to 128,580.75 and 282,068.25

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Solution

The third proportional to 128,580.75 and 282,068.25 is: 618,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580.75 : 282,068.25 = 282,068.25 : x
  2. Step 2: Convert to fraction form
    128,580.75/282,068.25 = 282,068.25/x
  3. Step 3: Cross multiply
    128,580.75x = 282,068.25 × 282,068.25
  4. Step 4: Simplify right side
    128,580.75x = 79,562,497,658.06
  5. Step 5: Solve for x
    x = 79,562,497,658.06/128,580.75
  6. Step 6: Final answer
    x = 618,774.57

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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.