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Finding the Third Proportional to 120,598 and 177,283

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Solution

The third proportional to 120,598 and 177,283 is: 260,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598 : 177,283 = 177,283 : x
  2. Step 2: Convert to fraction form
    120,598/177,283 = 177,283/x
  3. Step 3: Cross multiply
    120,598x = 177,283 × 177,283
  4. Step 4: Simplify right side
    120,598x = 31,429,262,089
  5. Step 5: Solve for x
    x = 31,429,262,089/120,598
  6. Step 6: Final answer
    x = 260,611.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.