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Finding the Third Proportional to 229,901 and 341,569

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Solution

The third proportional to 229,901 and 341,569 is: 507,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,901 : 341,569 = 341,569 : x
  2. Step 2: Convert to fraction form
    229,901/341,569 = 341,569/x
  3. Step 3: Cross multiply
    229,901x = 341,569 × 341,569
  4. Step 4: Simplify right side
    229,901x = 116,669,381,761
  5. Step 5: Solve for x
    x = 116,669,381,761/229,901
  6. Step 6: Final answer
    x = 507,476.62

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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.