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Finding the Third Proportional to 239,520 and 333,031.50

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Solution

The third proportional to 239,520 and 333,031.50 is: 463,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,520 : 333,031.50 = 333,031.50 : x
  2. Step 2: Convert to fraction form
    239,520/333,031.50 = 333,031.50/x
  3. Step 3: Cross multiply
    239,520x = 333,031.50 × 333,031.50
  4. Step 4: Simplify right side
    239,520x = 110,909,979,992.25
  5. Step 5: Solve for x
    x = 110,909,979,992.25/239,520
  6. Step 6: Final answer
    x = 463,051.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.