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Finding the Third Proportional to 174,458 and 268,527

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Solution

The third proportional to 174,458 and 268,527 is: 413,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,458 : 268,527 = 268,527 : x
  2. Step 2: Convert to fraction form
    174,458/268,527 = 268,527/x
  3. Step 3: Cross multiply
    174,458x = 268,527 × 268,527
  4. Step 4: Simplify right side
    174,458x = 72,106,749,729
  5. Step 5: Solve for x
    x = 72,106,749,729/174,458
  6. Step 6: Final answer
    x = 413,318.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.