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Finding the Third Proportional to 147,829 and 229,361

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Solution

The third proportional to 147,829 and 229,361 is: 355,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,829 : 229,361 = 229,361 : x
  2. Step 2: Convert to fraction form
    147,829/229,361 = 229,361/x
  3. Step 3: Cross multiply
    147,829x = 229,361 × 229,361
  4. Step 4: Simplify right side
    147,829x = 52,606,468,321
  5. Step 5: Solve for x
    x = 52,606,468,321/147,829
  6. Step 6: Final answer
    x = 355,860.27

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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.