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Finding the Third Proportional to 191,402 and 417,244

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Solution

The third proportional to 191,402 and 417,244 is: 909,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,402 : 417,244 = 417,244 : x
  2. Step 2: Convert to fraction form
    191,402/417,244 = 417,244/x
  3. Step 3: Cross multiply
    191,402x = 417,244 × 417,244
  4. Step 4: Simplify right side
    191,402x = 174,092,555,536
  5. Step 5: Solve for x
    x = 174,092,555,536/191,402
  6. Step 6: Final answer
    x = 909,564.98

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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.