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Finding the Third Proportional to 233,656 and 366,057

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Solution

The third proportional to 233,656 and 366,057 is: 573,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,656 : 366,057 = 366,057 : x
  2. Step 2: Convert to fraction form
    233,656/366,057 = 366,057/x
  3. Step 3: Cross multiply
    233,656x = 366,057 × 366,057
  4. Step 4: Simplify right side
    233,656x = 133,997,727,249
  5. Step 5: Solve for x
    x = 133,997,727,249/233,656
  6. Step 6: Final answer
    x = 573,482.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.