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Finding the Third Proportional to 144,838.13 and 212,072.25

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Solution

The third proportional to 144,838.13 and 212,072.25 is: 310,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,838.13 : 212,072.25 = 212,072.25 : x
  2. Step 2: Convert to fraction form
    144,838.13/212,072.25 = 212,072.25/x
  3. Step 3: Cross multiply
    144,838.13x = 212,072.25 × 212,072.25
  4. Step 4: Simplify right side
    144,838.13x = 44,974,639,220.06
  5. Step 5: Solve for x
    x = 44,974,639,220.06/144,838.13
  6. Step 6: Final answer
    x = 310,516.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.