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Finding the Third Proportional to 176,271.84 and 268,538.77

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Solution

The third proportional to 176,271.84 and 268,538.77 is: 409,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,271.84 : 268,538.77 = 268,538.77 : x
  2. Step 2: Convert to fraction form
    176,271.84/268,538.77 = 268,538.77/x
  3. Step 3: Cross multiply
    176,271.84x = 268,538.77 × 268,538.77
  4. Step 4: Simplify right side
    176,271.84x = 72,113,068,643.40
  5. Step 5: Solve for x
    x = 72,113,068,643.40/176,271.84
  6. Step 6: Final answer
    x = 409,101.46

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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.