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Finding the Third Proportional to 147,292 and 230,413

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Solution

The third proportional to 147,292 and 230,413 is: 360,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,292 : 230,413 = 230,413 : x
  2. Step 2: Convert to fraction form
    147,292/230,413 = 230,413/x
  3. Step 3: Cross multiply
    147,292x = 230,413 × 230,413
  4. Step 4: Simplify right side
    147,292x = 53,090,150,569
  5. Step 5: Solve for x
    x = 53,090,150,569/147,292
  6. Step 6: Final answer
    x = 360,441.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.