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Finding the Third Proportional to 229,752 and 343,251

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Solution

The third proportional to 229,752 and 343,251 is: 512,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,752 : 343,251 = 343,251 : x
  2. Step 2: Convert to fraction form
    229,752/343,251 = 343,251/x
  3. Step 3: Cross multiply
    229,752x = 343,251 × 343,251
  4. Step 4: Simplify right side
    229,752x = 117,821,249,001
  5. Step 5: Solve for x
    x = 117,821,249,001/229,752
  6. Step 6: Final answer
    x = 512,819.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.