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Finding the Third Proportional to 118,899 and 260,705

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Solution

The third proportional to 118,899 and 260,705 is: 571,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,899 : 260,705 = 260,705 : x
  2. Step 2: Convert to fraction form
    118,899/260,705 = 260,705/x
  3. Step 3: Cross multiply
    118,899x = 260,705 × 260,705
  4. Step 4: Simplify right side
    118,899x = 67,967,097,025
  5. Step 5: Solve for x
    x = 67,967,097,025/118,899
  6. Step 6: Final answer
    x = 571,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.