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Finding the Third Proportional to 144,366.75 and 212,202

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Solution

The third proportional to 144,366.75 and 212,202 is: 311,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,366.75 : 212,202 = 212,202 : x
  2. Step 2: Convert to fraction form
    144,366.75/212,202 = 212,202/x
  3. Step 3: Cross multiply
    144,366.75x = 212,202 × 212,202
  4. Step 4: Simplify right side
    144,366.75x = 45,029,688,804
  5. Step 5: Solve for x
    x = 45,029,688,804/144,366.75
  6. Step 6: Final answer
    x = 311,911.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.