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Finding the Third Proportional to 175,495 and 282,622

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Solution

The third proportional to 175,495 and 282,622 is: 455,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,495 : 282,622 = 282,622 : x
  2. Step 2: Convert to fraction form
    175,495/282,622 = 282,622/x
  3. Step 3: Cross multiply
    175,495x = 282,622 × 282,622
  4. Step 4: Simplify right side
    175,495x = 79,875,194,884
  5. Step 5: Solve for x
    x = 79,875,194,884/175,495
  6. Step 6: Final answer
    x = 455,142.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.