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Finding the Third Proportional to 156,008.25 and 304,240.50

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Solution

The third proportional to 156,008.25 and 304,240.50 is: 593,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008.25 : 304,240.50 = 304,240.50 : x
  2. Step 2: Convert to fraction form
    156,008.25/304,240.50 = 304,240.50/x
  3. Step 3: Cross multiply
    156,008.25x = 304,240.50 × 304,240.50
  4. Step 4: Simplify right side
    156,008.25x = 92,562,281,840.25
  5. Step 5: Solve for x
    x = 92,562,281,840.25/156,008.25
  6. Step 6: Final answer
    x = 593,316.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.