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Finding the Third Proportional to 148,269 and 229,495.50

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Solution

The third proportional to 148,269 and 229,495.50 is: 355,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269 : 229,495.50 = 229,495.50 : x
  2. Step 2: Convert to fraction form
    148,269/229,495.50 = 229,495.50/x
  3. Step 3: Cross multiply
    148,269x = 229,495.50 × 229,495.50
  4. Step 4: Simplify right side
    148,269x = 52,668,184,520.25
  5. Step 5: Solve for x
    x = 52,668,184,520.25/148,269
  6. Step 6: Final answer
    x = 355,220.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.