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Finding the Third Proportional to 94,528 and 204,571

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Solution

The third proportional to 94,528 and 204,571 is: 442,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,528 : 204,571 = 204,571 : x
  2. Step 2: Convert to fraction form
    94,528/204,571 = 204,571/x
  3. Step 3: Cross multiply
    94,528x = 204,571 × 204,571
  4. Step 4: Simplify right side
    94,528x = 41,849,294,041
  5. Step 5: Solve for x
    x = 41,849,294,041/94,528
  6. Step 6: Final answer
    x = 442,718.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.