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Finding the Third Proportional to 79,437.50 and 165,409

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Solution

The third proportional to 79,437.50 and 165,409 is: 344,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,437.50 : 165,409 = 165,409 : x
  2. Step 2: Convert to fraction form
    79,437.50/165,409 = 165,409/x
  3. Step 3: Cross multiply
    79,437.50x = 165,409 × 165,409
  4. Step 4: Simplify right side
    79,437.50x = 27,360,137,281
  5. Step 5: Solve for x
    x = 27,360,137,281/79,437.50
  6. Step 6: Final answer
    x = 344,423.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.