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Finding the Third Proportional to 123,158.50 and 265,309

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Solution

The third proportional to 123,158.50 and 265,309 is: 571,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,158.50 : 265,309 = 265,309 : x
  2. Step 2: Convert to fraction form
    123,158.50/265,309 = 265,309/x
  3. Step 3: Cross multiply
    123,158.50x = 265,309 × 265,309
  4. Step 4: Simplify right side
    123,158.50x = 70,388,865,481
  5. Step 5: Solve for x
    x = 70,388,865,481/123,158.50
  6. Step 6: Final answer
    x = 571,530.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.