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Finding the Third Proportional to 173,742 and 275,332

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Solution

The third proportional to 173,742 and 275,332 is: 436,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,742 : 275,332 = 275,332 : x
  2. Step 2: Convert to fraction form
    173,742/275,332 = 275,332/x
  3. Step 3: Cross multiply
    173,742x = 275,332 × 275,332
  4. Step 4: Simplify right side
    173,742x = 75,807,710,224
  5. Step 5: Solve for x
    x = 75,807,710,224/173,742
  6. Step 6: Final answer
    x = 436,323.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.