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Finding the Third Proportional to 150,833 and 316,354

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Solution

The third proportional to 150,833 and 316,354 is: 663,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,833 : 316,354 = 316,354 : x
  2. Step 2: Convert to fraction form
    150,833/316,354 = 316,354/x
  3. Step 3: Cross multiply
    150,833x = 316,354 × 316,354
  4. Step 4: Simplify right side
    150,833x = 100,079,853,316
  5. Step 5: Solve for x
    x = 100,079,853,316/150,833
  6. Step 6: Final answer
    x = 663,514.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.