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Finding the Third Proportional to 93,528 and 204,580

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Solution

The third proportional to 93,528 and 204,580 is: 447,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,528 : 204,580 = 204,580 : x
  2. Step 2: Convert to fraction form
    93,528/204,580 = 204,580/x
  3. Step 3: Cross multiply
    93,528x = 204,580 × 204,580
  4. Step 4: Simplify right side
    93,528x = 41,852,976,400
  5. Step 5: Solve for x
    x = 41,852,976,400/93,528
  6. Step 6: Final answer
    x = 447,491.41

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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.