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Finding the Third Proportional to 233,488.13 and 341,905.22

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Solution

The third proportional to 233,488.13 and 341,905.22 is: 500,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,488.13 : 341,905.22 = 341,905.22 : x
  2. Step 2: Convert to fraction form
    233,488.13/341,905.22 = 341,905.22/x
  3. Step 3: Cross multiply
    233,488.13x = 341,905.22 × 341,905.22
  4. Step 4: Simplify right side
    233,488.13x = 116,899,178,608.49
  5. Step 5: Solve for x
    x = 116,899,178,608.49/233,488.13
  6. Step 6: Final answer
    x = 500,664.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.