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Finding the Third Proportional to 191,749 and 418,106

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Solution

The third proportional to 191,749 and 418,106 is: 911,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,749 : 418,106 = 418,106 : x
  2. Step 2: Convert to fraction form
    191,749/418,106 = 418,106/x
  3. Step 3: Cross multiply
    191,749x = 418,106 × 418,106
  4. Step 4: Simplify right side
    191,749x = 174,812,627,236
  5. Step 5: Solve for x
    x = 174,812,627,236/191,749
  6. Step 6: Final answer
    x = 911,674.26

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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.