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Finding the Third Proportional to 140,276.25 and 302,695.88

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Solution

The third proportional to 140,276.25 and 302,695.88 is: 653,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,276.25 : 302,695.88 = 302,695.88 : x
  2. Step 2: Convert to fraction form
    140,276.25/302,695.88 = 302,695.88/x
  3. Step 3: Cross multiply
    140,276.25x = 302,695.88 × 302,695.88
  4. Step 4: Simplify right side
    140,276.25x = 91,624,792,742.02
  5. Step 5: Solve for x
    x = 91,624,792,742.02/140,276.25
  6. Step 6: Final answer
    x = 653,173.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.