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Finding the Third Proportional to 194,526 and 423,135

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Solution

The third proportional to 194,526 and 423,135 is: 920,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,526 : 423,135 = 423,135 : x
  2. Step 2: Convert to fraction form
    194,526/423,135 = 423,135/x
  3. Step 3: Cross multiply
    194,526x = 423,135 × 423,135
  4. Step 4: Simplify right side
    194,526x = 179,043,228,225
  5. Step 5: Solve for x
    x = 179,043,228,225/194,526
  6. Step 6: Final answer
    x = 920,407.70

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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.