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Finding the Third Proportional to 156,008 and 304,240

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Solution

The third proportional to 156,008 and 304,240 is: 593,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008 : 304,240 = 304,240 : x
  2. Step 2: Convert to fraction form
    156,008/304,240 = 304,240/x
  3. Step 3: Cross multiply
    156,008x = 304,240 × 304,240
  4. Step 4: Simplify right side
    156,008x = 92,561,977,600
  5. Step 5: Solve for x
    x = 92,561,977,600/156,008
  6. Step 6: Final answer
    x = 593,315.58

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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.