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Finding the Third Proportional to 175,431 and 362,895

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Solution

The third proportional to 175,431 and 362,895 is: 750,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,431 : 362,895 = 362,895 : x
  2. Step 2: Convert to fraction form
    175,431/362,895 = 362,895/x
  3. Step 3: Cross multiply
    175,431x = 362,895 × 362,895
  4. Step 4: Simplify right side
    175,431x = 131,692,781,025
  5. Step 5: Solve for x
    x = 131,692,781,025/175,431
  6. Step 6: Final answer
    x = 750,681.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.