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Finding the Third Proportional to 133,053.47 and 288,252.84

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Solution

The third proportional to 133,053.47 and 288,252.84 is: 624,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.47 : 288,252.84 = 288,252.84 : x
  2. Step 2: Convert to fraction form
    133,053.47/288,252.84 = 288,252.84/x
  3. Step 3: Cross multiply
    133,053.47x = 288,252.84 × 288,252.84
  4. Step 4: Simplify right side
    133,053.47x = 83,089,701,929.96
  5. Step 5: Solve for x
    x = 83,089,701,929.96/133,053.47
  6. Step 6: Final answer
    x = 624,483.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.