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Finding the Third Proportional to 205,056 and 424,224

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Solution

The third proportional to 205,056 and 424,224 is: 877,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,056 : 424,224 = 424,224 : x
  2. Step 2: Convert to fraction form
    205,056/424,224 = 424,224/x
  3. Step 3: Cross multiply
    205,056x = 424,224 × 424,224
  4. Step 4: Simplify right side
    205,056x = 179,966,002,176
  5. Step 5: Solve for x
    x = 179,966,002,176/205,056
  6. Step 6: Final answer
    x = 877,643.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.