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Finding the Third Proportional to 197,805 and 314,484

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Solution

The third proportional to 197,805 and 314,484 is: 499,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,805 : 314,484 = 314,484 : x
  2. Step 2: Convert to fraction form
    197,805/314,484 = 314,484/x
  3. Step 3: Cross multiply
    197,805x = 314,484 × 314,484
  4. Step 4: Simplify right side
    197,805x = 98,900,186,256
  5. Step 5: Solve for x
    x = 98,900,186,256/197,805
  6. Step 6: Final answer
    x = 499,988.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.