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Finding the Third Proportional to 183,025 and 427,590

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Solution

The third proportional to 183,025 and 427,590 is: 998,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,025 : 427,590 = 427,590 : x
  2. Step 2: Convert to fraction form
    183,025/427,590 = 427,590/x
  3. Step 3: Cross multiply
    183,025x = 427,590 × 427,590
  4. Step 4: Simplify right side
    183,025x = 182,833,208,100
  5. Step 5: Solve for x
    x = 182,833,208,100/183,025
  6. Step 6: Final answer
    x = 998,952.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.