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Finding the Third Proportional to 155,521 and 233,423

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Solution

The third proportional to 155,521 and 233,423 is: 350,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,521 : 233,423 = 233,423 : x
  2. Step 2: Convert to fraction form
    155,521/233,423 = 233,423/x
  3. Step 3: Cross multiply
    155,521x = 233,423 × 233,423
  4. Step 4: Simplify right side
    155,521x = 54,486,296,929
  5. Step 5: Solve for x
    x = 54,486,296,929/155,521
  6. Step 6: Final answer
    x = 350,346.88

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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.