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Finding the Third Proportional to 110,232 and 237,924

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Solution

The third proportional to 110,232 and 237,924 is: 513,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,232 : 237,924 = 237,924 : x
  2. Step 2: Convert to fraction form
    110,232/237,924 = 237,924/x
  3. Step 3: Cross multiply
    110,232x = 237,924 × 237,924
  4. Step 4: Simplify right side
    110,232x = 56,607,829,776
  5. Step 5: Solve for x
    x = 56,607,829,776/110,232
  6. Step 6: Final answer
    x = 513,533.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.