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Finding the Third Proportional to 199,458 and 432,146

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Solution

The third proportional to 199,458 and 432,146 is: 936,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,458 : 432,146 = 432,146 : x
  2. Step 2: Convert to fraction form
    199,458/432,146 = 432,146/x
  3. Step 3: Cross multiply
    199,458x = 432,146 × 432,146
  4. Step 4: Simplify right side
    199,458x = 186,750,165,316
  5. Step 5: Solve for x
    x = 186,750,165,316/199,458
  6. Step 6: Final answer
    x = 936,288.17

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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.