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Finding the Third Proportional to 229,041 and 346,072

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Solution

The third proportional to 229,041 and 346,072 is: 522,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,041 : 346,072 = 346,072 : x
  2. Step 2: Convert to fraction form
    229,041/346,072 = 346,072/x
  3. Step 3: Cross multiply
    229,041x = 346,072 × 346,072
  4. Step 4: Simplify right side
    229,041x = 119,765,829,184
  5. Step 5: Solve for x
    x = 119,765,829,184/229,041
  6. Step 6: Final answer
    x = 522,901.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.