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Finding the Third Proportional to 89,346 and 243,045

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Solution

The third proportional to 89,346 and 243,045 is: 661,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,346 : 243,045 = 243,045 : x
  2. Step 2: Convert to fraction form
    89,346/243,045 = 243,045/x
  3. Step 3: Cross multiply
    89,346x = 243,045 × 243,045
  4. Step 4: Simplify right side
    89,346x = 59,070,872,025
  5. Step 5: Solve for x
    x = 59,070,872,025/89,346
  6. Step 6: Final answer
    x = 661,147.36

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.