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Finding the Third Proportional to 199,848 and 432,312

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Solution

The third proportional to 199,848 and 432,312 is: 935,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848 : 432,312 = 432,312 : x
  2. Step 2: Convert to fraction form
    199,848/432,312 = 432,312/x
  3. Step 3: Cross multiply
    199,848x = 432,312 × 432,312
  4. Step 4: Simplify right side
    199,848x = 186,893,665,344
  5. Step 5: Solve for x
    x = 186,893,665,344/199,848
  6. Step 6: Final answer
    x = 935,179.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.