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Finding the Third Proportional to 175,316 and 284,830

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Solution

The third proportional to 175,316 and 284,830 is: 462,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,316 : 284,830 = 284,830 : x
  2. Step 2: Convert to fraction form
    175,316/284,830 = 284,830/x
  3. Step 3: Cross multiply
    175,316x = 284,830 × 284,830
  4. Step 4: Simplify right side
    175,316x = 81,128,128,900
  5. Step 5: Solve for x
    x = 81,128,128,900/175,316
  6. Step 6: Final answer
    x = 462,753.71

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.