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Finding the Third Proportional to 191,656 and 415,888

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Solution

The third proportional to 191,656 and 415,888 is: 902,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656 : 415,888 = 415,888 : x
  2. Step 2: Convert to fraction form
    191,656/415,888 = 415,888/x
  3. Step 3: Cross multiply
    191,656x = 415,888 × 415,888
  4. Step 4: Simplify right side
    191,656x = 172,962,828,544
  5. Step 5: Solve for x
    x = 172,962,828,544/191,656
  6. Step 6: Final answer
    x = 902,464.98

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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.