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Finding the Third Proportional to 145,339.50 and 212,257.50

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Solution

The third proportional to 145,339.50 and 212,257.50 is: 309,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,339.50 : 212,257.50 = 212,257.50 : x
  2. Step 2: Convert to fraction form
    145,339.50/212,257.50 = 212,257.50/x
  3. Step 3: Cross multiply
    145,339.50x = 212,257.50 × 212,257.50
  4. Step 4: Simplify right side
    145,339.50x = 45,053,246,306.25
  5. Step 5: Solve for x
    x = 45,053,246,306.25/145,339.50
  6. Step 6: Final answer
    x = 309,986.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.