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Finding the Third Proportional to 156,808 and 235,565

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Solution

The third proportional to 156,808 and 235,565 is: 353,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,808 : 235,565 = 235,565 : x
  2. Step 2: Convert to fraction form
    156,808/235,565 = 235,565/x
  3. Step 3: Cross multiply
    156,808x = 235,565 × 235,565
  4. Step 4: Simplify right side
    156,808x = 55,490,869,225
  5. Step 5: Solve for x
    x = 55,490,869,225/156,808
  6. Step 6: Final answer
    x = 353,877.79

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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.