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Finding the Third Proportional to 117,109.50 and 260,421

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Solution

The third proportional to 117,109.50 and 260,421 is: 579,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,109.50 : 260,421 = 260,421 : x
  2. Step 2: Convert to fraction form
    117,109.50/260,421 = 260,421/x
  3. Step 3: Cross multiply
    117,109.50x = 260,421 × 260,421
  4. Step 4: Simplify right side
    117,109.50x = 67,819,097,241
  5. Step 5: Solve for x
    x = 67,819,097,241/117,109.50
  6. Step 6: Final answer
    x = 579,108.42

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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.