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Finding the Third Proportional to 147,623 and 229,212

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Solution

The third proportional to 147,623 and 229,212 is: 355,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,623 : 229,212 = 229,212 : x
  2. Step 2: Convert to fraction form
    147,623/229,212 = 229,212/x
  3. Step 3: Cross multiply
    147,623x = 229,212 × 229,212
  4. Step 4: Simplify right side
    147,623x = 52,538,140,944
  5. Step 5: Solve for x
    x = 52,538,140,944/147,623
  6. Step 6: Final answer
    x = 355,894.01

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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.