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Finding the Third Proportional to 76,347 and 176,895

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Solution

The third proportional to 76,347 and 176,895 is: 409,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347 : 176,895 = 176,895 : x
  2. Step 2: Convert to fraction form
    76,347/176,895 = 176,895/x
  3. Step 3: Cross multiply
    76,347x = 176,895 × 176,895
  4. Step 4: Simplify right side
    76,347x = 31,291,841,025
  5. Step 5: Solve for x
    x = 31,291,841,025/76,347
  6. Step 6: Final answer
    x = 409,863.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.