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Finding the Third Proportional to 205,627 and 306,735

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Solution

The third proportional to 205,627 and 306,735 is: 457,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,627 : 306,735 = 306,735 : x
  2. Step 2: Convert to fraction form
    205,627/306,735 = 306,735/x
  3. Step 3: Cross multiply
    205,627x = 306,735 × 306,735
  4. Step 4: Simplify right side
    205,627x = 94,086,360,225
  5. Step 5: Solve for x
    x = 94,086,360,225/205,627
  6. Step 6: Final answer
    x = 457,558.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.