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Finding the Third Proportional to 147,624 and 229,211

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Solution

The third proportional to 147,624 and 229,211 is: 355,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,624 : 229,211 = 229,211 : x
  2. Step 2: Convert to fraction form
    147,624/229,211 = 229,211/x
  3. Step 3: Cross multiply
    147,624x = 229,211 × 229,211
  4. Step 4: Simplify right side
    147,624x = 52,537,682,521
  5. Step 5: Solve for x
    x = 52,537,682,521/147,624
  6. Step 6: Final answer
    x = 355,888.49

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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.