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Finding the Third Proportional to 156,677 and 234,426

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Solution

The third proportional to 156,677 and 234,426 is: 350,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,677 : 234,426 = 234,426 : x
  2. Step 2: Convert to fraction form
    156,677/234,426 = 234,426/x
  3. Step 3: Cross multiply
    156,677x = 234,426 × 234,426
  4. Step 4: Simplify right side
    156,677x = 54,955,549,476
  5. Step 5: Solve for x
    x = 54,955,549,476/156,677
  6. Step 6: Final answer
    x = 350,756.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.