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Finding the Third Proportional to 195,008 and 423,072

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Solution

The third proportional to 195,008 and 423,072 is: 917,859.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,008 : 423,072 = 423,072 : x
  2. Step 2: Convert to fraction form
    195,008/423,072 = 423,072/x
  3. Step 3: Cross multiply
    195,008x = 423,072 × 423,072
  4. Step 4: Simplify right side
    195,008x = 178,989,917,184
  5. Step 5: Solve for x
    x = 178,989,917,184/195,008
  6. Step 6: Final answer
    x = 917,859.36

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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.