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Finding the Third Proportional to 195,205 and 425,038

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Solution

The third proportional to 195,205 and 425,038 is: 925,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,205 : 425,038 = 425,038 : x
  2. Step 2: Convert to fraction form
    195,205/425,038 = 425,038/x
  3. Step 3: Cross multiply
    195,205x = 425,038 × 425,038
  4. Step 4: Simplify right side
    195,205x = 180,657,301,444
  5. Step 5: Solve for x
    x = 180,657,301,444/195,205
  6. Step 6: Final answer
    x = 925,474.76

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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.