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Finding the Third Proportional to 197,184 and 425,328

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Solution

The third proportional to 197,184 and 425,328 is: 917,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,184 : 425,328 = 425,328 : x
  2. Step 2: Convert to fraction form
    197,184/425,328 = 425,328/x
  3. Step 3: Cross multiply
    197,184x = 425,328 × 425,328
  4. Step 4: Simplify right side
    197,184x = 180,903,907,584
  5. Step 5: Solve for x
    x = 180,903,907,584/197,184
  6. Step 6: Final answer
    x = 917,437.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.