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Finding the Third Proportional to 147,284 and 225,209

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Solution

The third proportional to 147,284 and 225,209 is: 344,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,284 : 225,209 = 225,209 : x
  2. Step 2: Convert to fraction form
    147,284/225,209 = 225,209/x
  3. Step 3: Cross multiply
    147,284x = 225,209 × 225,209
  4. Step 4: Simplify right side
    147,284x = 50,719,093,681
  5. Step 5: Solve for x
    x = 50,719,093,681/147,284
  6. Step 6: Final answer
    x = 344,362.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.