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Finding the Third Proportional to 205,678.50 and 448,260

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Solution

The third proportional to 205,678.50 and 448,260 is: 976,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,678.50 : 448,260 = 448,260 : x
  2. Step 2: Convert to fraction form
    205,678.50/448,260 = 448,260/x
  3. Step 3: Cross multiply
    205,678.50x = 448,260 × 448,260
  4. Step 4: Simplify right side
    205,678.50x = 200,937,027,600
  5. Step 5: Solve for x
    x = 200,937,027,600/205,678.50
  6. Step 6: Final answer
    x = 976,947.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.