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Finding the Third Proportional to 191,164 and 415,862

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Solution

The third proportional to 191,164 and 415,862 is: 904,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,164 : 415,862 = 415,862 : x
  2. Step 2: Convert to fraction form
    191,164/415,862 = 415,862/x
  3. Step 3: Cross multiply
    191,164x = 415,862 × 415,862
  4. Step 4: Simplify right side
    191,164x = 172,941,203,044
  5. Step 5: Solve for x
    x = 172,941,203,044/191,164
  6. Step 6: Final answer
    x = 904,674.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.