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Finding the Third Proportional to 142,185 and 329,164.50

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Solution

The third proportional to 142,185 and 329,164.50 is: 762,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,185 : 329,164.50 = 329,164.50 : x
  2. Step 2: Convert to fraction form
    142,185/329,164.50 = 329,164.50/x
  3. Step 3: Cross multiply
    142,185x = 329,164.50 × 329,164.50
  4. Step 4: Simplify right side
    142,185x = 108,349,268,060.25
  5. Step 5: Solve for x
    x = 108,349,268,060.25/142,185
  6. Step 6: Final answer
    x = 762,030.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.