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Finding the Third Proportional to 117,109.13 and 260,421.75

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Solution

The third proportional to 117,109.13 and 260,421.75 is: 579,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,109.13 : 260,421.75 = 260,421.75 : x
  2. Step 2: Convert to fraction form
    117,109.13/260,421.75 = 260,421.75/x
  3. Step 3: Cross multiply
    117,109.13x = 260,421.75 × 260,421.75
  4. Step 4: Simplify right side
    117,109.13x = 67,819,487,873.06
  5. Step 5: Solve for x
    x = 67,819,487,873.06/117,109.13
  6. Step 6: Final answer
    x = 579,113.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.