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Finding the Third Proportional to 169,303.50 and 360,639

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Solution

The third proportional to 169,303.50 and 360,639 is: 768,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,303.50 : 360,639 = 360,639 : x
  2. Step 2: Convert to fraction form
    169,303.50/360,639 = 360,639/x
  3. Step 3: Cross multiply
    169,303.50x = 360,639 × 360,639
  4. Step 4: Simplify right side
    169,303.50x = 130,060,488,321
  5. Step 5: Solve for x
    x = 130,060,488,321/169,303.50
  6. Step 6: Final answer
    x = 768,209.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.