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Finding the Third Proportional to 172,854 and 282,253

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Solution

The third proportional to 172,854 and 282,253 is: 460,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854 : 282,253 = 282,253 : x
  2. Step 2: Convert to fraction form
    172,854/282,253 = 282,253/x
  3. Step 3: Cross multiply
    172,854x = 282,253 × 282,253
  4. Step 4: Simplify right side
    172,854x = 79,666,756,009
  5. Step 5: Solve for x
    x = 79,666,756,009/172,854
  6. Step 6: Final answer
    x = 460,890.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.