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Finding the Third Proportional to 133,029 and 210,623

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Solution

The third proportional to 133,029 and 210,623 is: 333,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029 : 210,623 = 210,623 : x
  2. Step 2: Convert to fraction form
    133,029/210,623 = 210,623/x
  3. Step 3: Cross multiply
    133,029x = 210,623 × 210,623
  4. Step 4: Simplify right side
    133,029x = 44,362,048,129
  5. Step 5: Solve for x
    x = 44,362,048,129/133,029
  6. Step 6: Final answer
    x = 333,476.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.