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Finding the Third Proportional to 194,742 and 425,532

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Solution

The third proportional to 194,742 and 425,532 is: 929,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742 : 425,532 = 425,532 : x
  2. Step 2: Convert to fraction form
    194,742/425,532 = 425,532/x
  3. Step 3: Cross multiply
    194,742x = 425,532 × 425,532
  4. Step 4: Simplify right side
    194,742x = 181,077,483,024
  5. Step 5: Solve for x
    x = 181,077,483,024/194,742
  6. Step 6: Final answer
    x = 929,832.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.