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Finding the Third Proportional to 249,234.75 and 365,524

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Solution

The third proportional to 249,234.75 and 365,524 is: 536,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,234.75 : 365,524 = 365,524 : x
  2. Step 2: Convert to fraction form
    249,234.75/365,524 = 365,524/x
  3. Step 3: Cross multiply
    249,234.75x = 365,524 × 365,524
  4. Step 4: Simplify right side
    249,234.75x = 133,607,794,576
  5. Step 5: Solve for x
    x = 133,607,794,576/249,234.75
  6. Step 6: Final answer
    x = 536,072.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.