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Finding the Third Proportional to 230,160 and 476,292

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Solution

The third proportional to 230,160 and 476,292 is: 985,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160 : 476,292 = 476,292 : x
  2. Step 2: Convert to fraction form
    230,160/476,292 = 476,292/x
  3. Step 3: Cross multiply
    230,160x = 476,292 × 476,292
  4. Step 4: Simplify right side
    230,160x = 226,854,069,264
  5. Step 5: Solve for x
    x = 226,854,069,264/230,160
  6. Step 6: Final answer
    x = 985,636.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.