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Finding the Third Proportional to 221,698 and 459,160

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Solution

The third proportional to 221,698 and 459,160 is: 950,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698 : 459,160 = 459,160 : x
  2. Step 2: Convert to fraction form
    221,698/459,160 = 459,160/x
  3. Step 3: Cross multiply
    221,698x = 459,160 × 459,160
  4. Step 4: Simplify right side
    221,698x = 210,827,905,600
  5. Step 5: Solve for x
    x = 210,827,905,600/221,698
  6. Step 6: Final answer
    x = 950,968.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.