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Finding the Third Proportional to 229,564.13 and 356,334.19

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Solution

The third proportional to 229,564.13 and 356,334.19 is: 553,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,564.13 : 356,334.19 = 356,334.19 : x
  2. Step 2: Convert to fraction form
    229,564.13/356,334.19 = 356,334.19/x
  3. Step 3: Cross multiply
    229,564.13x = 356,334.19 × 356,334.19
  4. Step 4: Simplify right side
    229,564.13x = 126,974,053,181.29
  5. Step 5: Solve for x
    x = 126,974,053,181.29/229,564.13
  6. Step 6: Final answer
    x = 553,109.30

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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.