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Finding the Third Proportional to 227,735 and 340,346

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Solution

The third proportional to 227,735 and 340,346 is: 508,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,735 : 340,346 = 340,346 : x
  2. Step 2: Convert to fraction form
    227,735/340,346 = 340,346/x
  3. Step 3: Cross multiply
    227,735x = 340,346 × 340,346
  4. Step 4: Simplify right side
    227,735x = 115,835,399,716
  5. Step 5: Solve for x
    x = 115,835,399,716/227,735
  6. Step 6: Final answer
    x = 508,641.18

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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.