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Finding the Third Proportional to 197,522 and 282,258

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Solution

The third proportional to 197,522 and 282,258 is: 403,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,522 : 282,258 = 282,258 : x
  2. Step 2: Convert to fraction form
    197,522/282,258 = 282,258/x
  3. Step 3: Cross multiply
    197,522x = 282,258 × 282,258
  4. Step 4: Simplify right side
    197,522x = 79,669,578,564
  5. Step 5: Solve for x
    x = 79,669,578,564/197,522
  6. Step 6: Final answer
    x = 403,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.