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Finding the Third Proportional to 232,324 and 341,681

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Solution

The third proportional to 232,324 and 341,681 is: 502,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,324 : 341,681 = 341,681 : x
  2. Step 2: Convert to fraction form
    232,324/341,681 = 341,681/x
  3. Step 3: Cross multiply
    232,324x = 341,681 × 341,681
  4. Step 4: Simplify right side
    232,324x = 116,745,905,761
  5. Step 5: Solve for x
    x = 116,745,905,761/232,324
  6. Step 6: Final answer
    x = 502,513.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.