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Finding the Third Proportional to 229,010 and 346,020

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Solution

The third proportional to 229,010 and 346,020 is: 522,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,010 : 346,020 = 346,020 : x
  2. Step 2: Convert to fraction form
    229,010/346,020 = 346,020/x
  3. Step 3: Cross multiply
    229,010x = 346,020 × 346,020
  4. Step 4: Simplify right side
    229,010x = 119,729,840,400
  5. Step 5: Solve for x
    x = 119,729,840,400/229,010
  6. Step 6: Final answer
    x = 522,814.90

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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.