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Finding the Third Proportional to 193,528 and 284,598

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Solution

The third proportional to 193,528 and 284,598 is: 418,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,528 : 284,598 = 284,598 : x
  2. Step 2: Convert to fraction form
    193,528/284,598 = 284,598/x
  3. Step 3: Cross multiply
    193,528x = 284,598 × 284,598
  4. Step 4: Simplify right side
    193,528x = 80,996,021,604
  5. Step 5: Solve for x
    x = 80,996,021,604/193,528
  6. Step 6: Final answer
    x = 418,523.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.