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Finding the Third Proportional to 133,061 and 288,726

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Solution

The third proportional to 133,061 and 288,726 is: 626,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,061 : 288,726 = 288,726 : x
  2. Step 2: Convert to fraction form
    133,061/288,726 = 288,726/x
  3. Step 3: Cross multiply
    133,061x = 288,726 × 288,726
  4. Step 4: Simplify right side
    133,061x = 83,362,703,076
  5. Step 5: Solve for x
    x = 83,362,703,076/133,061
  6. Step 6: Final answer
    x = 626,499.90

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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.