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Finding the Third Proportional to 151,524 and 319,023

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Solution

The third proportional to 151,524 and 319,023 is: 671,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524 : 319,023 = 319,023 : x
  2. Step 2: Convert to fraction form
    151,524/319,023 = 319,023/x
  3. Step 3: Cross multiply
    151,524x = 319,023 × 319,023
  4. Step 4: Simplify right side
    151,524x = 101,775,674,529
  5. Step 5: Solve for x
    x = 101,775,674,529/151,524
  6. Step 6: Final answer
    x = 671,680.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.