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Finding the Third Proportional to 193,023 and 278,459

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Solution

The third proportional to 193,023 and 278,459 is: 401,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,023 : 278,459 = 278,459 : x
  2. Step 2: Convert to fraction form
    193,023/278,459 = 278,459/x
  3. Step 3: Cross multiply
    193,023x = 278,459 × 278,459
  4. Step 4: Simplify right side
    193,023x = 77,539,414,681
  5. Step 5: Solve for x
    x = 77,539,414,681/193,023
  6. Step 6: Final answer
    x = 401,710.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.