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Finding the Third Proportional to 147,788 and 229,306

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Solution

The third proportional to 147,788 and 229,306 is: 355,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,788 : 229,306 = 229,306 : x
  2. Step 2: Convert to fraction form
    147,788/229,306 = 229,306/x
  3. Step 3: Cross multiply
    147,788x = 229,306 × 229,306
  4. Step 4: Simplify right side
    147,788x = 52,581,241,636
  5. Step 5: Solve for x
    x = 52,581,241,636/147,788
  6. Step 6: Final answer
    x = 355,788.30

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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.