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Finding the Third Proportional to 173,630 and 368,586

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Solution

The third proportional to 173,630 and 368,586 is: 782,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,630 : 368,586 = 368,586 : x
  2. Step 2: Convert to fraction form
    173,630/368,586 = 368,586/x
  3. Step 3: Cross multiply
    173,630x = 368,586 × 368,586
  4. Step 4: Simplify right side
    173,630x = 135,855,639,396
  5. Step 5: Solve for x
    x = 135,855,639,396/173,630
  6. Step 6: Final answer
    x = 782,443.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.