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Finding the Third Proportional to 195,207 and 425,042

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Solution

The third proportional to 195,207 and 425,042 is: 925,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,207 : 425,042 = 425,042 : x
  2. Step 2: Convert to fraction form
    195,207/425,042 = 425,042/x
  3. Step 3: Cross multiply
    195,207x = 425,042 × 425,042
  4. Step 4: Simplify right side
    195,207x = 180,660,701,764
  5. Step 5: Solve for x
    x = 180,660,701,764/195,207
  6. Step 6: Final answer
    x = 925,482.70

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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.