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Finding the Third Proportional to 235,605 and 365,215.50

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Solution

The third proportional to 235,605 and 365,215.50 is: 566,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,605 : 365,215.50 = 365,215.50 : x
  2. Step 2: Convert to fraction form
    235,605/365,215.50 = 365,215.50/x
  3. Step 3: Cross multiply
    235,605x = 365,215.50 × 365,215.50
  4. Step 4: Simplify right side
    235,605x = 133,382,361,440.25
  5. Step 5: Solve for x
    x = 133,382,361,440.25/235,605
  6. Step 6: Final answer
    x = 566,127.04

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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.