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Finding the Third Proportional to 115,397 and 174,633

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Solution

The third proportional to 115,397 and 174,633 is: 264,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,397 : 174,633 = 174,633 : x
  2. Step 2: Convert to fraction form
    115,397/174,633 = 174,633/x
  3. Step 3: Cross multiply
    115,397x = 174,633 × 174,633
  4. Step 4: Simplify right side
    115,397x = 30,496,684,689
  5. Step 5: Solve for x
    x = 30,496,684,689/115,397
  6. Step 6: Final answer
    x = 264,276.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.