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Finding the Third Proportional to 234,045 and 353,173.50

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Solution

The third proportional to 234,045 and 353,173.50 is: 532,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,045 : 353,173.50 = 353,173.50 : x
  2. Step 2: Convert to fraction form
    234,045/353,173.50 = 353,173.50/x
  3. Step 3: Cross multiply
    234,045x = 353,173.50 × 353,173.50
  4. Step 4: Simplify right side
    234,045x = 124,731,521,102.25
  5. Step 5: Solve for x
    x = 124,731,521,102.25/234,045
  6. Step 6: Final answer
    x = 532,938.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.