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Finding the Third Proportional to 197,376 and 402,080

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Solution

The third proportional to 197,376 and 402,080 is: 819,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376 : 402,080 = 402,080 : x
  2. Step 2: Convert to fraction form
    197,376/402,080 = 402,080/x
  3. Step 3: Cross multiply
    197,376x = 402,080 × 402,080
  4. Step 4: Simplify right side
    197,376x = 161,668,326,400
  5. Step 5: Solve for x
    x = 161,668,326,400/197,376
  6. Step 6: Final answer
    x = 819,088.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.