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Finding the Third Proportional to 146,524 and 313,784

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Solution

The third proportional to 146,524 and 313,784 is: 671,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,524 : 313,784 = 313,784 : x
  2. Step 2: Convert to fraction form
    146,524/313,784 = 313,784/x
  3. Step 3: Cross multiply
    146,524x = 313,784 × 313,784
  4. Step 4: Simplify right side
    146,524x = 98,460,398,656
  5. Step 5: Solve for x
    x = 98,460,398,656/146,524
  6. Step 6: Final answer
    x = 671,974.55

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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.