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Finding the Third Proportional to 147,591 and 233,337

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Solution

The third proportional to 147,591 and 233,337 is: 368,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,591 : 233,337 = 233,337 : x
  2. Step 2: Convert to fraction form
    147,591/233,337 = 233,337/x
  3. Step 3: Cross multiply
    147,591x = 233,337 × 233,337
  4. Step 4: Simplify right side
    147,591x = 54,446,155,569
  5. Step 5: Solve for x
    x = 54,446,155,569/147,591
  6. Step 6: Final answer
    x = 368,898.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.