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Finding the Third Proportional to 148,634 and 317,428

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Solution

The third proportional to 148,634 and 317,428 is: 677,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,634 : 317,428 = 317,428 : x
  2. Step 2: Convert to fraction form
    148,634/317,428 = 317,428/x
  3. Step 3: Cross multiply
    148,634x = 317,428 × 317,428
  4. Step 4: Simplify right side
    148,634x = 100,760,535,184
  5. Step 5: Solve for x
    x = 100,760,535,184/148,634
  6. Step 6: Final answer
    x = 677,910.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.