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Finding the Third Proportional to 158,527.13 and 329,963.63

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Solution

The third proportional to 158,527.13 and 329,963.63 is: 686,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,527.13 : 329,963.63 = 329,963.63 : x
  2. Step 2: Convert to fraction form
    158,527.13/329,963.63 = 329,963.63/x
  3. Step 3: Cross multiply
    158,527.13x = 329,963.63 × 329,963.63
  4. Step 4: Simplify right side
    158,527.13x = 108,875,993,823.14
  5. Step 5: Solve for x
    x = 108,875,993,823.14/158,527.13
  6. Step 6: Final answer
    x = 686,797.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.