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Finding the Third Proportional to 147,885 and 229,416

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Solution

The third proportional to 147,885 and 229,416 is: 355,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,885 : 229,416 = 229,416 : x
  2. Step 2: Convert to fraction form
    147,885/229,416 = 229,416/x
  3. Step 3: Cross multiply
    147,885x = 229,416 × 229,416
  4. Step 4: Simplify right side
    147,885x = 52,631,701,056
  5. Step 5: Solve for x
    x = 52,631,701,056/147,885
  6. Step 6: Final answer
    x = 355,896.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.