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Finding the Third Proportional to 205,407 and 306,733.50

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Solution

The third proportional to 205,407 and 306,733.50 is: 458,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,407 : 306,733.50 = 306,733.50 : x
  2. Step 2: Convert to fraction form
    205,407/306,733.50 = 306,733.50/x
  3. Step 3: Cross multiply
    205,407x = 306,733.50 × 306,733.50
  4. Step 4: Simplify right side
    205,407x = 94,085,440,022.25
  5. Step 5: Solve for x
    x = 94,085,440,022.25/205,407
  6. Step 6: Final answer
    x = 458,043.98

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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.