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Finding the Third Proportional to 264,522.75 and 378,117

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Solution

The third proportional to 264,522.75 and 378,117 is: 540,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,522.75 : 378,117 = 378,117 : x
  2. Step 2: Convert to fraction form
    264,522.75/378,117 = 378,117/x
  3. Step 3: Cross multiply
    264,522.75x = 378,117 × 378,117
  4. Step 4: Simplify right side
    264,522.75x = 142,972,465,689
  5. Step 5: Solve for x
    x = 142,972,465,689/264,522.75
  6. Step 6: Final answer
    x = 540,492.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.