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Finding the Third Proportional to 156,010 and 304,244

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Solution

The third proportional to 156,010 and 304,244 is: 593,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,010 : 304,244 = 304,244 : x
  2. Step 2: Convert to fraction form
    156,010/304,244 = 304,244/x
  3. Step 3: Cross multiply
    156,010x = 304,244 × 304,244
  4. Step 4: Simplify right side
    156,010x = 92,564,411,536
  5. Step 5: Solve for x
    x = 92,564,411,536/156,010
  6. Step 6: Final answer
    x = 593,323.58

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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.