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Finding the Third Proportional to 153,249 and 324,924

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Solution

The third proportional to 153,249 and 324,924 is: 688,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249 : 324,924 = 324,924 : x
  2. Step 2: Convert to fraction form
    153,249/324,924 = 324,924/x
  3. Step 3: Cross multiply
    153,249x = 324,924 × 324,924
  4. Step 4: Simplify right side
    153,249x = 105,575,605,776
  5. Step 5: Solve for x
    x = 105,575,605,776/153,249
  6. Step 6: Final answer
    x = 688,915.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.