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Finding the Third Proportional to 174,988 and 258,792

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Solution

The third proportional to 174,988 and 258,792 is: 382,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988 : 258,792 = 258,792 : x
  2. Step 2: Convert to fraction form
    174,988/258,792 = 258,792/x
  3. Step 3: Cross multiply
    174,988x = 258,792 × 258,792
  4. Step 4: Simplify right side
    174,988x = 66,973,299,264
  5. Step 5: Solve for x
    x = 66,973,299,264/174,988
  6. Step 6: Final answer
    x = 382,730.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.