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Finding the Third Proportional to 173,520 and 236,392.50

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Solution

The third proportional to 173,520 and 236,392.50 is: 322,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,520 : 236,392.50 = 236,392.50 : x
  2. Step 2: Convert to fraction form
    173,520/236,392.50 = 236,392.50/x
  3. Step 3: Cross multiply
    173,520x = 236,392.50 × 236,392.50
  4. Step 4: Simplify right side
    173,520x = 55,881,414,056.25
  5. Step 5: Solve for x
    x = 55,881,414,056.25/173,520
  6. Step 6: Final answer
    x = 322,045.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.