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Finding the Third Proportional to 88,584 and 193,780

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Solution

The third proportional to 88,584 and 193,780 is: 423,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,584 : 193,780 = 193,780 : x
  2. Step 2: Convert to fraction form
    88,584/193,780 = 193,780/x
  3. Step 3: Cross multiply
    88,584x = 193,780 × 193,780
  4. Step 4: Simplify right side
    88,584x = 37,550,688,400
  5. Step 5: Solve for x
    x = 37,550,688,400/88,584
  6. Step 6: Final answer
    x = 423,899.22

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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.