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Finding the Third Proportional to 148,527 and 311,877

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Solution

The third proportional to 148,527 and 311,877 is: 654,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,527 : 311,877 = 311,877 : x
  2. Step 2: Convert to fraction form
    148,527/311,877 = 311,877/x
  3. Step 3: Cross multiply
    148,527x = 311,877 × 311,877
  4. Step 4: Simplify right side
    148,527x = 97,267,263,129
  5. Step 5: Solve for x
    x = 97,267,263,129/148,527
  6. Step 6: Final answer
    x = 654,879.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.