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Finding the Third Proportional to 133,075 and 288,316

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Solution

The third proportional to 133,075 and 288,316 is: 624,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 288,316 = 288,316 : x
  2. Step 2: Convert to fraction form
    133,075/288,316 = 288,316/x
  3. Step 3: Cross multiply
    133,075x = 288,316 × 288,316
  4. Step 4: Simplify right side
    133,075x = 83,126,115,856
  5. Step 5: Solve for x
    x = 83,126,115,856/133,075
  6. Step 6: Final answer
    x = 624,656.14

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Why These Related Problems?

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