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Finding the Third Proportional to 162,104.63 and 260,455.50

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Solution

The third proportional to 162,104.63 and 260,455.50 is: 418,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,104.63 : 260,455.50 = 260,455.50 : x
  2. Step 2: Convert to fraction form
    162,104.63/260,455.50 = 260,455.50/x
  3. Step 3: Cross multiply
    162,104.63x = 260,455.50 × 260,455.50
  4. Step 4: Simplify right side
    162,104.63x = 67,837,067,480.25
  5. Step 5: Solve for x
    x = 67,837,067,480.25/162,104.63
  6. Step 6: Final answer
    x = 418,477.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.