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Finding the Third Proportional to 153,720 and 196,416

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Solution

The third proportional to 153,720 and 196,416 is: 250,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,720 : 196,416 = 196,416 : x
  2. Step 2: Convert to fraction form
    153,720/196,416 = 196,416/x
  3. Step 3: Cross multiply
    153,720x = 196,416 × 196,416
  4. Step 4: Simplify right side
    153,720x = 38,579,245,056
  5. Step 5: Solve for x
    x = 38,579,245,056/153,720
  6. Step 6: Final answer
    x = 250,970.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.