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Finding the Third Proportional to 194,552 and 423,184

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Solution

The third proportional to 194,552 and 423,184 is: 920,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,552 : 423,184 = 423,184 : x
  2. Step 2: Convert to fraction form
    194,552/423,184 = 423,184/x
  3. Step 3: Cross multiply
    194,552x = 423,184 × 423,184
  4. Step 4: Simplify right side
    194,552x = 179,084,697,856
  5. Step 5: Solve for x
    x = 179,084,697,856/194,552
  6. Step 6: Final answer
    x = 920,497.85

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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.