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Finding the Third Proportional to 195,716 and 425,440

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Solution

The third proportional to 195,716 and 425,440 is: 924,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,716 : 425,440 = 425,440 : x
  2. Step 2: Convert to fraction form
    195,716/425,440 = 425,440/x
  3. Step 3: Cross multiply
    195,716x = 425,440 × 425,440
  4. Step 4: Simplify right side
    195,716x = 180,999,193,600
  5. Step 5: Solve for x
    x = 180,999,193,600/195,716
  6. Step 6: Final answer
    x = 924,805.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.