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Finding the Third Proportional to 145,655.50 and 221,524

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Solution

The third proportional to 145,655.50 and 221,524 is: 336,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,655.50 : 221,524 = 221,524 : x
  2. Step 2: Convert to fraction form
    145,655.50/221,524 = 221,524/x
  3. Step 3: Cross multiply
    145,655.50x = 221,524 × 221,524
  4. Step 4: Simplify right side
    145,655.50x = 49,072,882,576
  5. Step 5: Solve for x
    x = 49,072,882,576/145,655.50
  6. Step 6: Final answer
    x = 336,910.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.