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Finding the Third Proportional to 219,104 and 460,348

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Solution

The third proportional to 219,104 and 460,348 is: 967,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,104 : 460,348 = 460,348 : x
  2. Step 2: Convert to fraction form
    219,104/460,348 = 460,348/x
  3. Step 3: Cross multiply
    219,104x = 460,348 × 460,348
  4. Step 4: Simplify right side
    219,104x = 211,920,281,104
  5. Step 5: Solve for x
    x = 211,920,281,104/219,104
  6. Step 6: Final answer
    x = 967,213.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.