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Finding the Third Proportional to 225,153 and 345,217.50

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Solution

The third proportional to 225,153 and 345,217.50 is: 529,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,153 : 345,217.50 = 345,217.50 : x
  2. Step 2: Convert to fraction form
    225,153/345,217.50 = 345,217.50/x
  3. Step 3: Cross multiply
    225,153x = 345,217.50 × 345,217.50
  4. Step 4: Simplify right side
    225,153x = 119,175,122,306.25
  5. Step 5: Solve for x
    x = 119,175,122,306.25/225,153
  6. Step 6: Final answer
    x = 529,307.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.