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Finding the Third Proportional to 172,092.30 and 367,830.87

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Solution

The third proportional to 172,092.30 and 367,830.87 is: 786,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092.30 : 367,830.87 = 367,830.87 : x
  2. Step 2: Convert to fraction form
    172,092.30/367,830.87 = 367,830.87/x
  3. Step 3: Cross multiply
    172,092.30x = 367,830.87 × 367,830.87
  4. Step 4: Simplify right side
    172,092.30x = 135,299,547,394.71
  5. Step 5: Solve for x
    x = 135,299,547,394.71/172,092.30
  6. Step 6: Final answer
    x = 786,203.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.