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Finding the Third Proportional to 191,316.94 and 415,848.94

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Solution

The third proportional to 191,316.94 and 415,848.94 is: 903,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,316.94 : 415,848.94 = 415,848.94 : x
  2. Step 2: Convert to fraction form
    191,316.94/415,848.94 = 415,848.94/x
  3. Step 3: Cross multiply
    191,316.94x = 415,848.94 × 415,848.94
  4. Step 4: Simplify right side
    191,316.94x = 172,930,338,819.88
  5. Step 5: Solve for x
    x = 172,930,338,819.88/191,316.94
  6. Step 6: Final answer
    x = 903,894.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.