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Finding the Third Proportional to 175,465 and 262,028

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Solution

The third proportional to 175,465 and 262,028 is: 391,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,465 : 262,028 = 262,028 : x
  2. Step 2: Convert to fraction form
    175,465/262,028 = 262,028/x
  3. Step 3: Cross multiply
    175,465x = 262,028 × 262,028
  4. Step 4: Simplify right side
    175,465x = 68,658,672,784
  5. Step 5: Solve for x
    x = 68,658,672,784/175,465
  6. Step 6: Final answer
    x = 391,295.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.