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Finding the Third Proportional to 223,880 and 460,898

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Solution

The third proportional to 223,880 and 460,898 is: 948,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,880 : 460,898 = 460,898 : x
  2. Step 2: Convert to fraction form
    223,880/460,898 = 460,898/x
  3. Step 3: Cross multiply
    223,880x = 460,898 × 460,898
  4. Step 4: Simplify right side
    223,880x = 212,426,966,404
  5. Step 5: Solve for x
    x = 212,426,966,404/223,880
  6. Step 6: Final answer
    x = 948,842.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.