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Finding the Third Proportional to 197,083 and 432,317

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Solution

The third proportional to 197,083 and 432,317 is: 948,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,083 : 432,317 = 432,317 : x
  2. Step 2: Convert to fraction form
    197,083/432,317 = 432,317/x
  3. Step 3: Cross multiply
    197,083x = 432,317 × 432,317
  4. Step 4: Simplify right side
    197,083x = 186,897,988,489
  5. Step 5: Solve for x
    x = 186,897,988,489/197,083
  6. Step 6: Final answer
    x = 948,321.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.