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Finding the Third Proportional to 195,263 and 423,088

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Solution

The third proportional to 195,263 and 423,088 is: 916,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,263 : 423,088 = 423,088 : x
  2. Step 2: Convert to fraction form
    195,263/423,088 = 423,088/x
  3. Step 3: Cross multiply
    195,263x = 423,088 × 423,088
  4. Step 4: Simplify right side
    195,263x = 179,003,455,744
  5. Step 5: Solve for x
    x = 179,003,455,744/195,263
  6. Step 6: Final answer
    x = 916,730.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.