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Finding the Third Proportional to 229,808 and 356,741

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Solution

The third proportional to 229,808 and 356,741 is: 553,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,808 : 356,741 = 356,741 : x
  2. Step 2: Convert to fraction form
    229,808/356,741 = 356,741/x
  3. Step 3: Cross multiply
    229,808x = 356,741 × 356,741
  4. Step 4: Simplify right side
    229,808x = 127,264,141,081
  5. Step 5: Solve for x
    x = 127,264,141,081/229,808
  6. Step 6: Final answer
    x = 553,784.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.