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Finding the Third Proportional to 174,988 and 361,641

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Solution

The third proportional to 174,988 and 361,641 is: 747,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988 : 361,641 = 361,641 : x
  2. Step 2: Convert to fraction form
    174,988/361,641 = 361,641/x
  3. Step 3: Cross multiply
    174,988x = 361,641 × 361,641
  4. Step 4: Simplify right side
    174,988x = 130,784,212,881
  5. Step 5: Solve for x
    x = 130,784,212,881/174,988
  6. Step 6: Final answer
    x = 747,389.61

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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.