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Finding the Third Proportional to 145,686.75 and 225,000

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Solution

The third proportional to 145,686.75 and 225,000 is: 347,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,686.75 : 225,000 = 225,000 : x
  2. Step 2: Convert to fraction form
    145,686.75/225,000 = 225,000/x
  3. Step 3: Cross multiply
    145,686.75x = 225,000 × 225,000
  4. Step 4: Simplify right side
    145,686.75x = 50,625,000,000
  5. Step 5: Solve for x
    x = 50,625,000,000/145,686.75
  6. Step 6: Final answer
    x = 347,492.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.