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Finding the Third Proportional to 119,403 and 260,950.50

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Solution

The third proportional to 119,403 and 260,950.50 is: 570,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,403 : 260,950.50 = 260,950.50 : x
  2. Step 2: Convert to fraction form
    119,403/260,950.50 = 260,950.50/x
  3. Step 3: Cross multiply
    119,403x = 260,950.50 × 260,950.50
  4. Step 4: Simplify right side
    119,403x = 68,095,163,450.25
  5. Step 5: Solve for x
    x = 68,095,163,450.25/119,403
  6. Step 6: Final answer
    x = 570,296.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.