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Finding the Third Proportional to 176,271.75 and 268,538.63

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Solution

The third proportional to 176,271.75 and 268,538.63 is: 409,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,271.75 : 268,538.63 = 268,538.63 : x
  2. Step 2: Convert to fraction form
    176,271.75/268,538.63 = 268,538.63/x
  3. Step 3: Cross multiply
    176,271.75x = 268,538.63 × 268,538.63
  4. Step 4: Simplify right side
    176,271.75x = 72,112,993,116.89
  5. Step 5: Solve for x
    x = 72,112,993,116.89/176,271.75
  6. Step 6: Final answer
    x = 409,101.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.