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Finding the Third Proportional to 74,046 and 156,354

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Solution

The third proportional to 74,046 and 156,354 is: 330,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 156,354 = 156,354 : x
  2. Step 2: Convert to fraction form
    74,046/156,354 = 156,354/x
  3. Step 3: Cross multiply
    74,046x = 156,354 × 156,354
  4. Step 4: Simplify right side
    74,046x = 24,446,573,316
  5. Step 5: Solve for x
    x = 24,446,573,316/74,046
  6. Step 6: Final answer
    x = 330,153.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.