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Finding the Third Proportional to 229,857.63 and 356,815

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Solution

The third proportional to 229,857.63 and 356,815 is: 553,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.63 : 356,815 = 356,815 : x
  2. Step 2: Convert to fraction form
    229,857.63/356,815 = 356,815/x
  3. Step 3: Cross multiply
    229,857.63x = 356,815 × 356,815
  4. Step 4: Simplify right side
    229,857.63x = 127,316,944,225
  5. Step 5: Solve for x
    x = 127,316,944,225/229,857.63
  6. Step 6: Final answer
    x = 553,894.80

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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.