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Finding the Third Proportional to 175,484 and 274,998

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Solution

The third proportional to 175,484 and 274,998 is: 430,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,484 : 274,998 = 274,998 : x
  2. Step 2: Convert to fraction form
    175,484/274,998 = 274,998/x
  3. Step 3: Cross multiply
    175,484x = 274,998 × 274,998
  4. Step 4: Simplify right side
    175,484x = 75,623,900,004
  5. Step 5: Solve for x
    x = 75,623,900,004/175,484
  6. Step 6: Final answer
    x = 430,944.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.