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Finding the Third Proportional to 232,060.50 and 359,019

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Solution

The third proportional to 232,060.50 and 359,019 is: 555,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,060.50 : 359,019 = 359,019 : x
  2. Step 2: Convert to fraction form
    232,060.50/359,019 = 359,019/x
  3. Step 3: Cross multiply
    232,060.50x = 359,019 × 359,019
  4. Step 4: Simplify right side
    232,060.50x = 128,894,642,361
  5. Step 5: Solve for x
    x = 128,894,642,361/232,060.50
  6. Step 6: Final answer
    x = 555,435.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.