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Finding the Third Proportional to 155,784 and 233,418

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Solution

The third proportional to 155,784 and 233,418 is: 349,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,784 : 233,418 = 233,418 : x
  2. Step 2: Convert to fraction form
    155,784/233,418 = 233,418/x
  3. Step 3: Cross multiply
    155,784x = 233,418 × 233,418
  4. Step 4: Simplify right side
    155,784x = 54,483,962,724
  5. Step 5: Solve for x
    x = 54,483,962,724/155,784
  6. Step 6: Final answer
    x = 349,740.43

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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.