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Finding the Third Proportional to 229,718 and 344,798

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Solution

The third proportional to 229,718 and 344,798 is: 517,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,718 : 344,798 = 344,798 : x
  2. Step 2: Convert to fraction form
    229,718/344,798 = 344,798/x
  3. Step 3: Cross multiply
    229,718x = 344,798 × 344,798
  4. Step 4: Simplify right side
    229,718x = 118,885,660,804
  5. Step 5: Solve for x
    x = 118,885,660,804/229,718
  6. Step 6: Final answer
    x = 517,528.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.