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Finding the Third Proportional to 156,645 and 234,283.50

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Solution

The third proportional to 156,645 and 234,283.50 is: 350,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,645 : 234,283.50 = 234,283.50 : x
  2. Step 2: Convert to fraction form
    156,645/234,283.50 = 234,283.50/x
  3. Step 3: Cross multiply
    156,645x = 234,283.50 × 234,283.50
  4. Step 4: Simplify right side
    156,645x = 54,888,758,372.25
  5. Step 5: Solve for x
    x = 54,888,758,372.25/156,645
  6. Step 6: Final answer
    x = 350,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.