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Finding the Third Proportional to 191,372 and 417,708

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Solution

The third proportional to 191,372 and 417,708 is: 911,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,372 : 417,708 = 417,708 : x
  2. Step 2: Convert to fraction form
    191,372/417,708 = 417,708/x
  3. Step 3: Cross multiply
    191,372x = 417,708 × 417,708
  4. Step 4: Simplify right side
    191,372x = 174,479,973,264
  5. Step 5: Solve for x
    x = 174,479,973,264/191,372
  6. Step 6: Final answer
    x = 911,731.98

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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.