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Finding the Third Proportional to 229,510.50 and 312,894

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Solution

The third proportional to 229,510.50 and 312,894 is: 426,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,510.50 : 312,894 = 312,894 : x
  2. Step 2: Convert to fraction form
    229,510.50/312,894 = 312,894/x
  3. Step 3: Cross multiply
    229,510.50x = 312,894 × 312,894
  4. Step 4: Simplify right side
    229,510.50x = 97,902,655,236
  5. Step 5: Solve for x
    x = 97,902,655,236/229,510.50
  6. Step 6: Final answer
    x = 426,571.57

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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.