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Finding the Third Proportional to 155,767 and 233,391

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Solution

The third proportional to 155,767 and 233,391 is: 349,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,767 : 233,391 = 233,391 : x
  2. Step 2: Convert to fraction form
    155,767/233,391 = 233,391/x
  3. Step 3: Cross multiply
    155,767x = 233,391 × 233,391
  4. Step 4: Simplify right side
    155,767x = 54,471,358,881
  5. Step 5: Solve for x
    x = 54,471,358,881/155,767
  6. Step 6: Final answer
    x = 349,697.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.