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Finding the Third Proportional to 115,395 and 174,630

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Solution

The third proportional to 115,395 and 174,630 is: 264,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,395 : 174,630 = 174,630 : x
  2. Step 2: Convert to fraction form
    115,395/174,630 = 174,630/x
  3. Step 3: Cross multiply
    115,395x = 174,630 × 174,630
  4. Step 4: Simplify right side
    115,395x = 30,495,636,900
  5. Step 5: Solve for x
    x = 30,495,636,900/115,395
  6. Step 6: Final answer
    x = 264,271.74

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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.